A NEW CLASS OF GENERALIZED POLYNOMIALS ASSOCIATED WITH HERMITE-BERNOULLI POLYNOMIALS

被引：3

作者：

Goubi, Mouloud ^{[1
,2
]}

机构：

[1] UMMTO Univ, Fac Sci, Dept Math, Tizi Ouzou 15000, Algeria

[2] Lab Algebra & Number Theory USTHB Algeirs, Algiers, Algeria

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2020年 / 38卷 / 3-4期

关键词：

Hermite polynomials; Bernoulli polynomials; Hermite-Bernoulli polynomials; NUMBERS;

D O I：

10.14317/jami.2020.211

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and investigate a new class of generalized polynomials associated with Hermite-Bernoulli polynomials of higher order. This generalization is a unification formula of Bernoulli numbers, Bernoulli polynomials, Hermite-Bernoulli polynomials of Dattoli, generalized Hermite-Bernoulli polynomials for two variables of order a and new other families of polynomials depending on any generating function f.

引用

页码：211 / 220

页数：10

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