Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI:10.18311/jims/2020/22695

Aparna Chaturvedi, Prakriti Rai

引用次数: 0

Abstract

In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions.

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基于广义Hermite的Apostol-Bernoulli、Euler、Genocchi多项式及其关系

本文推广了Apostol-Hermite-Bernoulli多项式、Apostol-Eermite-Euler多项式和ApostolHermite-Genocchi多项式。我们已经证明了这些多项式之间有着密切的联系，并通过应用生成函数导出了一些隐式求和公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.