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Bu çalışma, 19-25 Eylül 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups, and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number and in some of these methods, the minimal polynomials of several algebraic numbers are used. Here we obtain the minimal polynomial of one of those numbers, cos(2 pi/n), over the field of rationals by means of the better known Chebycheff polynomials for odd q and give some of their properties. We calculated this minimal polynomial for n is an element of N by using the Maple language and classifying the numbers n is an element of N into different classes. European Soc Computat Methods Sci, Engn & Technol (ESCMSET) R M Santilli Fdn

Bu çalışma, 19-25 Mayıs 2012 tarihleri arasında Kos[Yunanistan]’da düzenlenen International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. The number lambda(q) = 2cos pi/q, q is an element of N, q >= 3, appears in the study of Hecke groups which are Fuchsian groups and in the study of regular polyhedra. There are many results about the minimal polynomial of this algebraic number. Here we obtain the minimal polynomial of these numbers over the field of rationals by means of the better known Chebycheff polynomials and the Maple language. European Soc Computat Methods Sci, Engn & Technol (ESCMSET) R M Santilli Fdn

The aim of this paper is to define the generating functions of the Bernoulli, Euler and Genocchi polynomials of higher order. By using these generating functions, we derive some identities and relations on these polynomials. Our results generalize the classical Bernoulli, Euler, Genocchi polynomials and also Apostol-Bernoulli, Apostol-Euler and Apostol Genocchi polynomials.

Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur. In this paper, we investigate some combinatoric properties of the Projective Klingenberg planes coordinatized with a finite local ring R when the cardinality of set I of the non-unit elements of R is k. As a result we arrive at the result that the order of the projective plane underlying projective Klingenberg plane must be n k, which is the index of I in R when |R| = n. Although some of the results given here can be found in the literature [1], [3] and [4] we approach to them in a direct way and give alternative proofs. European Soc Computat Methods Sci & Engn (ESCMSE) R M Santilli Fdn ACC I S

Bu çalışma, 19-15 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. The aim of this work is to derive the connection among cycle, proper cycle, right and left neighbour of indefinite reduced binary quadratic form F(x,y) = ax(2) + bxy + cy(2) of discriminant Delta = b(2) - 4ac. European Soc Comp Methods Sci & Engn

Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. In this paper, we study the primes in the ring Z[w], where w = exp(2 pi i/3) is a cubic root of unity. We gave a classification of them and some results related to the use of them in the calculation of cubic residues are obtained. European Soc Comp Methods Sci & Engn

Bu çalışma, 21-26 Haziran 2010 tarihleri arasında Sozopol[Bulgaristan]'da düzenlenen 2. International Conference on Application of Mathematics in Technical and Natural Sciences'da bildiri olarak sunulmuştur. The main purpose of this paper is to construct partial twisted zeta-type function, which interpolates q-generalized Frobenius-Euler numbers and twisted q-generalized Frobenius-Euler numbers. We give some applications related to this function. Akdeniz Üniversitesi

Bu çalışma, 19-25 Eylül 2010 tarihleri arasında Rhodes[Yunanistan]’da düzenlenen International Conference on Numerical Analysis and Applied Mathematics’da bildiri olarak sunulmuştur. In this paper the Estrada index of Hermite matrix is firstly defined and investigated. In fact this is a natural generalization of Estrada, distance Estrada and Laplacian Estrada indices. Thus all properties about them can be handled by this new index. European Soc Comp Methods Sci & Engn