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16 results on '"Seog Hoon Rim"'

1. On degenerate q-Daehee numbers and polynomials

Author

Joohee Jeong, Seog-Hoon Rim, and Dong-Jin Kang

Subjects
Classical orthogonal polynomials, Pure mathematics, Difference polynomials, Gegenbauer polynomials, Macdonald polynomials, General Mathematics, Discrete orthogonal polynomials, Orthogonal polynomials, Hahn polynomials, Koornwinder polynomials, Mathematics
Published
2015

3. A note on weighted Changhee polynomials and numbers

Author

Seog-Hoon Rim, JinHyeok Lee, Jongkyum Kwon, AuJin Kim, SuHwan Jeong, and HyeonSeok Noh

Subjects
Combinatorics, Classical orthogonal polynomials, Macdonald polynomials, Difference polynomials, Gegenbauer polynomials, Discrete orthogonal polynomials, Hahn polynomials, Orthogonal polynomials, Wilson polynomials, General Physics and Astronomy, Mathematical Physics, Mathematics
Abstract

The Changhee polynomials and numbers are introduced by D.S. Kim et al in [5]. Some interesting identities and properties of those polynomials are derived from umbral calculus(see [5]). In this paper, we consider Witt-type formula for the weighted Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to the weighted Euler polynomials.

Published
2015

5. A note on series expansion

Author

Sang Hun Lee, Seog-Hoon Rim, Jong-Jin Seo, Taekyun Kim, and Yu Seon Jang

Subjects
symbols.namesake, Euler's formula, symbols, General Physics and Astronomy, Applied mathematics, Trigonometric functions, Series expansion, Bernoulli number, Mathematical Physics, Mathematics
Abstract

In this paper, we introduce some formulae of series expansion which are derived from trigonometric functions related to Euler and Bernoulli numbers.

Published
2014

9. Symmetry identities for the generalized higher-order q-Bernoulli polynomials under S_3

Author

Jong Jin Seo, Taekyun Kim, Seog-Hoon Rim, and Yu Seon Jang

Subjects
Pure mathematics, symbols.namesake, Difference polynomials, Macdonald polynomials, General Mathematics, Discrete orthogonal polynomials, Orthogonal polynomials, Wilson polynomials, symbols, Jacobi polynomials, Koornwinder polynomials, Mathematics, Bernoulli polynomials
Published
2014

10. A note on Changhee polynomials and numbers with q-parameter

Author

Jong Jin Seo, Seog Hoon Rim, Dmitry V. Dolgy, and Taekyun Kim

Subjects
Combinatorics, Classical orthogonal polynomials, Difference polynomials, Gegenbauer polynomials, Macdonald polynomials, General Mathematics, Discrete orthogonal polynomials, Wilson polynomials, Hahn polynomials, Orthogonal polynomials, Mathematics
Abstract

In this paper, we consider the q-extensions of Changhee polynomials which are derived from the fermionic p-adic integral on Zp and the q-analogue of falling factorial sequence. Finally, we give some identities of those polynomials.

Published
2014

11. A note on q-Changhee polynomials and numbers

Author

Taekyun Kim, Toufik Mansour, Seog-Hoon Rim, and Jong-Jin Seo

Subjects
Classical orthogonal polynomials, Combinatorics, Difference polynomials, Gegenbauer polynomials, Macdonald polynomials, Discrete orthogonal polynomials, Wilson polynomials, Orthogonal polynomials, Hahn polynomials, General Physics and Astronomy, Mathematical Physics, Mathematics
Abstract

Recently, Changhee polynomials and numbers are introduced in (6). Some interesting identities and properties of those polynomials are derived from umbral calculus(see (6)). In this paper, we consider Witt-type formula for the Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

Published
2014

12. Symmetric identities of generalized (h, q)-Euler polynomials under third dihedral group

Author

Taekyun Kim, Sang Hun Lee, and Seog-Hoon Rim

Subjects
Combinatorics, Power sum symmetric polynomial, Applied Mathematics, Stanley symmetric function, Elementary symmetric polynomial, Complete homogeneous symmetric polynomial, Newton's identities, Ring of symmetric functions, Dihedral group of order 6, Schur polynomial, Mathematics
Published
2014

13. A note on the modified (r,q)-Bernoulli polynomials

Author

Seog-Hoon Rim, Jin-Woo Park, and Joung Hee Jin

Subjects
Pure mathematics, symbols.namesake, symbols, General Physics and Astronomy, Jacobi polynomials, Mathematical Physics, Bernoulli polynomials, Mathematics
Published
2014

16. A note on the new approach to q-Bernoulli polynomials

Author

Seog-Hoon Rim, Taekyun Kim, Jong-Jin Seo, and Sang Hun Lee

Subjects
Discrete mathematics, Applied Mathematics, Discrete orthogonal polynomials, Computer Science::Computational Complexity, Bernoulli polynomials, Classical orthogonal polynomials, symbols.namesake, Difference polynomials, Macdonald polynomials, Hahn polynomials, Orthogonal polynomials, Wilson polynomials, symbols, Mathematics
Abstract

In this paper, we construct new q-extension of Bernoulli poly- nomials. These q-Bernoulli polynomials are useful to study various identities of Carlitz's q-Bernoulli numbers.

Published
2013

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