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.
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页码：168 / 180
页数：13
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