Certain new presentation of the generalized polynomials and numbers

被引：3
作者：
Ghayasuddin, Mohd [1 ]
Khan, Nabiullah [2 ]
机构：
[1] Integral Univ Campus, Dept Math, Shahjahanpur 242002, India
[2] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 01期
关键词：
Bernoulli polynomials; Generalized Bernoulli polynomials; Mittag-Leffler function; Wiman function; Multi-index Mittag-Leffler function; APOSTOL-BERNOULLI; REPRESENTATION; LAGUERRE; FORMULAS;
D O I：
10.1007/s12215-020-00502-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose two new generalizations of the Bernoulli polynomials and numbers by means of the Wiman function. We also consider the variations in the generating functions of our proposed polynomials. Some interesting properties of our generalized polynomials are given in a systematic way. Furthermore, certain new classes of multi-index generalized polynomials and numbers are presented in the last section as the conclusion of our current investigation.
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页码：327 / 339
页数：13
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