Analytical properties of extended Hermite-Bernoulli polynomials

被引：1

作者：

Khan, Nabiullah ^{[1
]}

Ahmad, Naeem ^{[2
]}

Ghayasuddin, Mohd ^{[3
]}

机构：

[1] Aligarh Muslim Univ, Dept Appl Math, Aligarh 202002, Uttar Pradesh, India

[2] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia

[3] Dept Math, Integral Univ Campus, Shahjahanpur 242001, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2020年 / 20卷 / 04期

关键词：

Hermite polynomials; Bernoulli polynomials; Hermite-Bernoulli polynomials; Mittag-Leffler function;

D O I：

10.22436/jmcs.020.04.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article aims to present a new family of extended Hermite-Bernoulli polynomials by making use of the Mittag-Leffler function. We also derive some analytical properties of our proposed extended Hermite-Bernoulli polynomials systematically. Furthermore, some concluding remarks of our present investigation are also pointed out in the last section.

引用

页码：292 / 301

页数：10

共 17 条

[1] Andrews L. C., 1985, Special functions for engineers and applied mathematicians, P1
[2] [Anonymous], 2003, J APPL MATH
[3] APOSTOL TM, 1951, B AM MATH SOC, V57, P370
[4] Exponential polynomials
Bell, ET
[J]. ANNALS OF MATHEMATICS, 1934, 35 : 258 - 277
[5] Dattoli G., 1999, REND MATH, V19, P385
[6] Ghayasuddin M., 2019, COMMUNICATED, V1, P6
[7] Khan W. A., 2016, SPRINGERPLUS, V5, P1
[8] A new class of Laguerre-based Apostol type polynomials
Khan, Waseem A.
Araci, Serkan
Acikgoz, Mehmet
[J]. COGENT MATHEMATICS, 2016, 3
[9] Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
Khan, Waseem Ahmad
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03): : 597 - 614
[10] Kurt B., 2010, App. Math. Sci., V4, P2315

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