Search

Your search keyword '"Shilin, I. A."' showing total 92 results
Start Over Author "Shilin, I. A."
92 results on '"Shilin, I. A."'

1. A generalization of certain associated Bessel functions in connection with a group of shifts

Author

Choi, J. and Shilin, I. A.

Subjects
Mathematics - Classical Analysis and ODEs
Abstract

Considering the kernel of an integral operator intertwining two realizations of the group of motions of the pseudo-Euclidian space, we derive two formulas for series containing Whittaker's functions or Weber's parabolic cylinder functions. We can consider this kernel as a special function. Some particular values of parameters involved in this special function are found to coincide with certain variants of Bessel functions. Using these connections, we also establish some analogues of orthogonality relations for Macdonald and Hankel functions.

Published
2022
Full Text
View/download PDF

5. Anosov diffeomorphism with a horseshoe that attracts almost any point

Author

Bonatti, C., Minkov, S., Okunev, A., and Shilin, I.

Subjects
Mathematics - Dynamical Systems, 37D20
Abstract

We present an example of a C1 Anosov diffeomorphism of a two-torus with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure., Comment: 19 pages, 3 figures. Rewrote the second page of Introduction, some minor changes (to improve readability)

Published
2018

8. Concerning Transformations of Bases Associated with Unimodular diag(1, −1, −1)-Matrices.

Author

Shilin, I. A. and Choi, Junesang

Subjects
*TRANSFORMATION groups, *LIE groups, *SPECIAL functions, *INTEGRALS
Abstract

Considering a representation space for a group of unimodular diag (1 ,   − 1 ,   − 1) -matrices, we construct several bases whose elements are eigenfunctions of Casimir infinitesimal operators related to a reduction in the group to some one-parameter subgroups. Finding the kernels of base transformation integral operators in terms of special functions, we consider the compositions of some of these transformations. Since composition is a 'closed' operation on the set of base transformations, we obtain some integral relations for the special functions involved in the above kernels. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

9. On a generalization of l'Hopital's rule for multivariable functions

Author

Ivlev, V. V. and Shilin, I. A.

Subjects
Mathematics - History and Overview, 26B05, 26B99
Abstract

For students and their lecturers and instructors interested in the natural problem of a possible generalization of l'Hopital's rule for functions depending on two or more variables, we offer our approach. For instructors, we discuss the technique of constructing indeterminate forms at a given point and having a given double limit.

Published
2014

17. Method of Continual Addition Theorems and Integral Relations between the Coulomb Functions and the Appell Function F1.

Author

Shilin, I. A. and Choi, J.

Subjects
*COULOMB functions, *LORENTZ groups, *HYPERGEOMETRIC functions, *REAL numbers, *FUNCTION spaces, *REAL variables
Abstract

The paper considers a function introduced by the authors, which depends on one complex variable, two real variables, and one more argument, which defines a trivial or proper subgroup of a three-dimensional proper Lorentz group, which, therefore, is a real number or a pair of real numbers. In this case, the first three arguments define representation spaces and basis functions in these spaces. It is shown that its particular values can be expressed via the Coulomb wave functions or Appell's hypergeometric function . The resulting formula for the transformation of the function is used to derive a continual addition theorem for this function and calculate the one-dimensional Fourier–Mellin-type integral transforms of the product of two Coulomb functions; its result is expressed via the function . [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

18. Method of Continual Addition Theorems and Integral Relations between the Coulomb Functions and the Appell Function F1.

Author

Shilin, I. A. and Choi, J.

Subjects
COULOMB functions, LORENTZ groups, HYPERGEOMETRIC functions, REAL numbers, FUNCTION spaces, REAL variables
Abstract

The paper considers a function introduced by the authors, which depends on one complex variable, two real variables, and one more argument, which defines a trivial or proper subgroup of a three-dimensional proper Lorentz group, which, therefore, is a real number or a pair of real numbers. In this case, the first three arguments define representation spaces and basis functions in these spaces. It is shown that its particular values can be expressed via the Coulomb wave functions or Appell's hypergeometric function . The resulting formula for the transformation of the function is used to derive a continual addition theorem for this function and calculate the one-dimensional Fourier–Mellin-type integral transforms of the product of two Coulomb functions; its result is expressed via the function . [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

21. КЛІТИННІ ФЕНОТИПИ ЗЛОЯКІСНИХ ПУХЛИН ШЛУНКА ЕПІТЕЛІАЛЬНОГО ПОХОДЖЕННЯ = CELLULAR PHENOTYPES OF MALIGNANT TUMORS OF THE STOMACH OF EPITELIAL ORIGIN

Author

Mashukov, A. O., Lurin, A. G., Tkachenko, O. I., Zgura, O. M., Bilenko, O. A., Ratsiborsky, D. V., Merlich, S. V., Shilin, I. V., Maksimovsky, V. E., Boychenko, A. I., and Sirbu, V. M.

Abstract

Mashukov A. O., Lurin A. G., Tkachenko O. I., Zgura O. M., Bilenko O. A., Ratsiborsky D. V., Merlich S.V., Shilin I.V., Maksimovsky V. E., Boychenko A. I., Sirbu V. M. CELLULAR PHENOTYPES OF MALIGNANT TUMORS OF THE STOMACH OF EPITELIAL ORIGIN. ВІСНИК МОРСЬКОЇ МЕДИЦИНИ. 2020;3(88):45-50. ISSN 0049-6804. DOI http://dx.doi.org/10.5281/zenodo.4118651 http://www.herald.com.ua УДК 616.33-006.6-089-076/-078 DOI http://dx.doi.org/10.5281/zenodo.4118651 КЛІТИННІ ФЕНОТИПИ ЗЛОЯКІСНИХ ПУХЛИН ШЛУНКА ЕПІТЕЛІАЛЬНОГО ПОХОДЖЕННЯ А. О. Машуков1,2, А. Г. Лурін2, О. І. Ткаченко1, О. М. Згура2, О. А. Біленко1, Д. В. Раціборський2, С. В. Мерліч2, І. В. Шілін2, В. Є. Максимовський1, А. І. Бойченко2, В. М. Сирбу2 Одеський національний медичний університет1, Україна; КНП «Одеський обласний онкологічний диспансер»2, Україна CELLULAR PHENOTYPES OF MALIGNANT TUMORS OF THE STOMACH OF EPITELIAL ORIGIN Mashukov A. O.1,2, Lurin A. G.2, Tkachenko O. I.1, Zgura O. M.2, Bilenko O. A.1, Ratsiborsky D. V.2, Merlich S. V.2 , Shilin I. V.2, Maksimovsky V. E.1, Boychenko A. I.2, Sirbu V. M.2 Odessa National Medical University1, Ukraine; KNP "Odessa Regional Center for Oncology"2, Ukraine mashukster@gmail.com Summary The aim: to study the effect of cell phenotype of gastric tumors on the survival of patients treated according to standard protocols. Object and methods of research. The work presents the results of a clinical study conducted on the basis of two medical institutions - the National Cancer Institute and the abdominal oncology surgery department of the Odessa Regional Oncology Center. 221 patients underwent surgery for gastric cancer (MS) from 2007 to 2013. The mean age of patients was 60.88 ± 10.5 years, men - 180, women - 41. All patients underwent surgery, performed 143 gastrectomies and 78 distal subtotal resections of the stomach. Results. All patients included in the study were radically operated. Tumors removed during surgery were examined using histological, cytological, immunohistochemical methods and genetic tests. The obtained research results are monitored for the presence / absence of clinical parallels and mathematical correlations between them. It is concluded that some combinations of immunohistochemical (IHC) markers are effective in separating groups of patients with different biology of gastric cancer. Survival of groups of patients was analyzed on the basis of analysis of molecular markers VEGFR, p53, Her2, Ki-67 and standard histological parameters (stage, degree of differentiation, etc.). The results obtained taking into account the survival and life expectancy in this category of patients allowed us to assess the feasibility and effectiveness of our proposed classification. Conclusions. More advanced surgeries, including D2 lymph dissection, were more effective in microsatellite-unstable and Epstein-Barr virus-associated gastric cancer. Key words: gastric cancer, oncoproteins, immunohistochemical study, new classification.

Published
2020
Full Text
View/download PDF

22. Novel data according Will Roger's phenomenon in stomach cancer patients

Author

Dubinina, V. G., Lukjanchuk, О. V., Lurin, A. G., Маshukov, А. А., Bilenko, А. А, Zgura, A. N., Raciborsky, D. V., Merlich, S. V., and Shilin, I. V.

Subjects
lcsh:Sports, lcsh:GV557-1198.995, lcsh:R, lcsh:Medicine, lcsh:L, extended lymphatic dissection, tnm classification, will roger`s phenomenon, stomach cancer, lcsh:Education
Abstract

Dubinina V. G., Lukjanchuk О. V., Lurin A. G., Маshukov А. А., Bilenko А. А., ZguraA.N., Raciborsky D. V., Merlich S. V., ShilinI. V. Novel data according Will Roger`s phenomenon in stomach cancer patients. Journal of Education, Health and Sport. 2016;6(6):185-206. eISSN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.55178 http://ojs.ukw.edu.pl/index.php/johs/article/view/3570 The journal has had 7 points in Ministry of Science and Higher Education parametric evaluation. Part B item 755 (23.12.2015). 755 Journal of Education, Health and Sport eISSN 2391-8306 7 © The Author (s) 2016; This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. The authors declare that there is no conflict of interests regarding the publication of this paper. Received: 05.05.2016. Revised 25.05.2016. Accepted: 25.05.2016. Novel data according Will Roger`s phenomenon in stomach cancer patients Dubinina V. G.1, Lukjanchuk О. V.1,2, Lurin A. G.2, Маshukov А. А.1,2, Bilenko А. А.2, ZguraA.N.2, Raciborsky D. V.2, Merlich S. V.2, Shilin I. V.2 Odessa national medical university1 Odessa regional oncologic center2 Acknowledgments: Supported by the Oncological Department of Odessa Regional Pathology Service. Summary MostlyWill Roger`sphenomenon means existence of so-called "jumping" or "jumping over the stages" regional metastases in the stomach cancer patients.N1 in the 6th edition means 16 regional lymph nodes involvement, while the N1 seventh edition – only 1-2 of regional lymph nodes involvement. This means that T1N1Mo \ 6th and T1N1Mo \ 7th - not quite the same, and the survival of the two groups will be different. The study, made on the abdominal oncosurgical department of Odessa Regional Oncology Center, included 188 patients operated for gastric cancer in the period 2007-2011. The study included only radically treated patients. Comparison of survival in patients with gastric cancer between 6th revision groups of 7th has been reviewed. The classification mission is to provide differences in the survival rates between the groups. Regression multivariate Cox analysis showed that 7th UICC classification showed different capability of stratifying survival groups of UICC N classification (P \ 0.01). Key words:extended lymphatic dissection,TNM classification, Will Roger`s phenomenon, stomach cancer.

Published
2016

23. Maximal subalgebras in so(2,1), addition theorems and Bessel–Clifford functions

Author

Shilin, I. A. and Choi, J.

Abstract

We consider some maximal nilpotent and maximal commutative subalgebras in so(2,1). The exponential mapping of these subalgebras gives the corresponding one-parameter subgroups. The relations between the corresponding bases of carrier space (which contain eigenfunctions of the infinitesimal operators of subrepresentations to the obtained subgroups) and kernels of some representation operators give some integral formulas for Bessel–Clifford functions. These relations are found to be particular cases of one continual addition theorem for the function introduced by authors.

Published
2022
Full Text
View/download PDF

24. Evaluation advanced lymph node dissection impact on long-term survival rate of gastric cancer patients

Author

Dubinina, V. G., Mashukov, A. A., Zgura, A. N., Bilenko, A. A., Merlich, S. V., Raziborsky, D. V., and Shilin, I. V.

Subjects
lcsh:Sports, lcsh:GV557-1198.995, stomach cancer, extended lymph node dissections, lcsh:R, lcsh:Medicine, lcsh:L, lcsh:Education
Abstract

Dubinina V. G., Mashukov A. A., Zgura A. N., Bilenko A. A., Merlich S. V., Raziborsky D.V., Shilin I. V. Evaluation advanced lymph node dissection impact on long-term survival rate of gastric cancer patients. Journal of Education, Health and Sport. 2015;5(4):52-71. ISSN 2391-8306. DOI: 10.5281/zenodo.16594 http://ojs.ukw.edu.pl/index.php/johs/article/view/2015%3B5%284%29%3A52-71 https://pbn.nauka.gov.pl/works/553136 http://dx.doi.org/10.5281/zenodo.16594 Formerly Journal of Health Sciences. ISSN 1429-9623 / 2300-665X. Archives 2011 – 2014 http://journal.rsw.edu.pl/index.php/JHS/issue/archive Deklaracja. Specyfika i zawartość merytoryczna czasopisma nie ulega zmianie. Zgodnie z informacją MNiSW z dnia 2 czerwca 2014 r., że w roku 2014 nie będzie przeprowadzana ocena czasopism naukowych; czasopismo o zmienionym tytule otrzymuje tyle samo punktów co na wykazie czasopism naukowych z dnia 31 grudnia 2014 r. The journal has had 5 points in Ministry of Science and Higher Education of Poland parametric evaluation. Part B item 1089. (31.12.2014). © The Author (s) 2015; This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland and Radom University in Radom, Poland Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. The authors declare that there is no conflict of interests regarding the publication of this paper. Received: 20.01.2014. Revised 27.02.2015. Accepted: 15.03.2015. Evaluation advanced lymph node dissection impact on long-term survival rate of gastric cancer patients V. G. Dubinina1, A. A. Mashukov1, A. N. Zgura2, A. A. Bilenko1, S. V. Merlich2, D.V.Raziborsky2, I. V. Shilin2 Odessa National Medical University1, Odessa, Ukraine Odessa Regional Oncological Dispansery2, Odessa, Ukraine Abstract Over a period of 2007-2011 188 stomach cancer (SC) patients have been included in the research in abdominal oncosurgical department of Odessa regional oncological dispensary. It was retrospective, one-center, nonrandomized research. Volume of lymph node dissections differed by quantity of lymph nodes to be removed. All patients were divided into three groups. Patients with D1 or D1+ lymph node dissections have been performed, totally 90 patients are included in group of historical control. The main group includes 33 patients to whom D3 lymph node dissections is executed and, finally, control group – 65 patients dissected up to the D2 volume. In all cases so-called lymph node dissections for principal reasons have been executed. The multifactorial analysis of patients survival is implemented depending on a type of a lymph node dissections, a stage of the cancer, number of involved lymph nodes, involvement of the tumoral microcirculatory net (ly is carried out, v) signs of a perinevral invasion (Nev), availability of residual tumoral tissue (R), degree of a differentiation (G). Regardless of a disease stage, SC at 60% of patients, represented with initially hematologicaly disseminated disease. 40% of SC`s had no signs of intratumoral microcirculatory net involvement even in case of more than 15 regional lymph nodes are involved. In the absence of a SC perinevral invasion appeared to be the most precise predictive marker. The conclusion is made some brand new additional prognostic factors could play a crucial role in more accurate patients selection for expanded lymph node dissections. Keywords: stomach cancer, extended lymph node dissections.

Published
2015

25. MATHEMATICAL FORMULA WITH FLOATING VARIABLE FOR PROGNOSIS OF SURVIVAL AND PERSONIFICATION OF PROGRAMS OF INTEGRATED TREATMENT OF PATIENTS WITH CANCER OF STOMACH

Author

Kirkilevsky, S. I., primary, Dubinina, V. G., additional, Lukyanchuk, O. V., additional, Lurin, A. G., additional, Mashukov, A. A., additional, Bilenko, A. A., additional, Zgura, A. N., additional, Osadchy, D. N., additional, Merlich, S. V., additional, Ratsiborsky, D. V., additional, Maksimovsky, V. E., additional, and Shilin, I. V., additional

Published
2018
Full Text
View/download PDF

29. Аналіз виживаності хворих на рак шлунка після радикальних операцій

Author

Mashukov, A. A., primary, Lukyanchuk, O. V., additional, Dubinina, V. G., additional, Bilenko, A. A., additional, Lurin, A. G., additional, Zgura, A. N., additional, Ratzyborskiy, D. V., additional, Maksimovskyi, V. E., additional, Osadchiy, D. N., additional, Merlich, S. V., additional, Shilin, I. V., additional, and Li, S. N., additional

Published
2017
Full Text
View/download PDF

34. On matrix elements of the -representation in a space of functions on -matrices.

Author

Shilin, I. A. and Choi, J.

Subjects
*MATRICES (Mathematics), *KERNEL functions, *BESSEL functions, *DIFFERENTIAL equations, *HYPERGEOMETRIC series
Abstract

We obtain matrix elements and kernel of representation operators for one realization of -representation in an appropriate space of functions defined on matrix cone. Indeed, we show that the matrix elements can be expressed in terms of product of two Gaussian hypergeometric functions and the kernel of integral operator corresponding to representation linear operator can be expressed in terms of Bessel functions of the first kind or modified Bessel functions of the second kind. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

36. A C Anosov diffeomorphism with a horseshoe that attracts almost any point.

Author

Bonatti, C., Minkov, S., Okunev, A., and Shilin, I.

Subjects
DIFFEOMORPHISMS, PHYSICAL measurements, TOPOLOGY, MATHEMATICAL analysis, COMBINATORICS
Abstract

We present an example of a C Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

37. Certain relations between Bessel and Whittaker functions related to some diagonal and block-diagonal 3 × 3-matrices.

Author

Shilin, I. A. and Junesang Choi

Subjects
MATHEMATICAL functions, MATRICES (Mathematics), LINEAR operators, BESSEL functions, SEMISIMPLE Lie groups
Abstract

The authors derive the matrix elements of the linear operators which appear under the representation of the group SO(2, 1) and correspond to some diagonal or block-diagonal matrices belonging to the above group. Then, by applying these matrix elements, that is, from a group theoretical point of view, the authors show how certain interesting integral and series representations of the Whittaker function of the second kind and some formulas for the (basic and modified) Bessel functions can be obtained. A special case of one of the results presented here is indicated to be also a special one of a known formula. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

47. Problems in Planning and Stimulating Technical Progress.

Author

Shilin, I. G.

Abstract

The acceleration of progress in science and technology is the key problem upon whose solution depends the growth of the nation's economic potential, increased effectiveness in social production, and the course of the economic competition with the most developed capitalist countries. This is why questions pertaining to the acceleration of progress in science and technology and to improvement in the planning and stimulation of such progress occupied such a large place in the work of the Twenty-Fourth Congress of the CPSU. Only certain aspects of this topic will be examined in the present article. [ABSTRACT FROM AUTHOR]

Published
1972
Full Text
View/download PDF

48. Analysis of patients’ survival after radical surgery for gastric cancer

Author

Mashukov, A. A., Lukyanchuk, O. V., Dubinina, V. G., Bilenko, A. A., Lurin, A. G., Zgura, A. N., Ratzyborskiy, D. V., Maksimovskyi, V. E., Osadchiy, D. N., Merlich, S. V., Shilin, I. V., Li, S. N., Mashukov, A. A., Lukyanchuk, O. V., Dubinina, V. G., Bilenko, A. A., Lurin, A. G., Zgura, A. N., Ratzyborskiy, D. V., Maksimovskyi, V. E., Osadchiy, D. N., Merlich, S. V., Shilin, I. V., and Li, S. N.

Catalog

Books, media, physical & digital resources
See catalog results