A NOTE ON MIXED POLYNOMIALS AND NUMBERS

被引：0

作者：

Ghayasuddin, Mohd ^{[1
]}

Khan, Nabiullah ^{[2
]}

机构：

[1] Integral Univ, Dept Math, Ctr Shahjahanpur 242001, India

[2] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India

来源：

HONAM MATHEMATICAL JOURNAL | 2024年 / 46卷 / 02期

关键词：

Bernoulli polynomials; generalized Bernoulli polynomials; Euler polynomials; generalized Euler polynomials; Genocchi polynomials; generalized Genocchi polynomials; generalized Bessel function; APOSTOL-BERNOULLI; FORMULAS; LAGUERRE;

D O I：

10.5831/HMJ.2024.46.2.168

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main object of this article is to propose a unified extension of Bernoulli, Euler and Genocchi polynomials by means of a new family of mixed polynomials whose generating function is given in terms of generalized Bessel function. We also discuss here some fundamental properties of our introduced mixed polynomials by making use of the series arrangement technique. Furthermore, some conclusions of our present study are also pointed out in the last section.

引用

页码：168 / 180

页数：13

共 50 条

[41] Some array type polynomials associated with special numbers and polynomials
Bayad, Abdelmejid
Simsek, Yilmaz
Srivastava, H. M.
APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 149 - 157
[42] Generating functions for generalized Stirling type numbers, Array type polynomials, Eulerian type polynomials and their applications
Yilmaz Simsek
Fixed Point Theory and Applications, 2013
[43] On Euler numbers, polynomials and related p-adic integrals
Kim, Min-Soo
JOURNAL OF NUMBER THEORY, 2009, 129 (09) : 2166 - 2179
[44] ON THE (r, q)-BERNOULLI AND (r, q)-EULER NUMBERS AND POLYNOMIALS
Jin, Joung Hee
Mansour, Toufik
Moon, Eun-Jung
Park, Jin-Woo
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (02) : 250 - 259
[45] Some explicit identities on Changhee-Genocchi polynomials and numbers
Byung-Moon Kim
Joohee Jeong
Seog-Hoon Rim
Advances in Difference Equations, 2016
[46] Some explicit identities on Changhee-Genocchi polynomials and numbers
Kim, Byung-Moon
Jeong, Joohee
Rim, Seog-Hoon
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[47] A note on Bernoulli numbers
Muthumalai, Ramesh Kumar
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2013, 19 (01) : 59 - 65
[48] A note on the relationships between the generalized Bernoulli and Euler polynomials
Wang, Weiping
Wang, Tianming
ARS COMBINATORIA, 2008, 88 : 397 - 405
[49] A note on degenerate Bernstein polynomials
Kim, Taekyun
Kim, Dae San
Jang, Gwan-Woo
Kwon, Jongkyum
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[50] On poly-Bell numbers and polynomials
Guettai, Ghania
Laissaoui, Diffalah
Rahmani, Mourad
Sebaoui, Madjid
QUAESTIONES MATHEMATICAE, 2021, 44 (11) : 1463 - 1483

← 1 2 3 4 5 →