Probabilistic type 2 Bernoulli and Euler polynomials

被引：14

作者：

Chen, Li ^{[1
]}

Dolgy, Dmitry, V ^{[2
]}

Kim, Taekyun ^{[3
,4
]}

Kim, Dae San ^{[4
]}

机构：

[1] Xi An Univ Finance & Econ, Sch Math, Xian, Peoples R China

[2] Kwangwoon Univ, Kwangwoon Global Educ Ctr, Seoul 139701, South Korea

[3] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

[4] Xi An Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 06期

关键词：

probabilistic type 2 Bernoulli polynomials; probabilistic type 2 Euler polynomials; probabilistic type 2 cosine-Bernoulli polynomials; probabilistic type 2 sine-Bernoulli polynomials; probabilistic type 2 cosine-Euler polynomials; probabilistic type 2 sine-Euler polynomials;

D O I：

10.3934/math.2024696

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assume that the moment -generating function of the random variable Y exists in a neighborhood of the origin. The aim of this paper is to investigate the probabilistic type 2 Bernoulli polynomials associated with Y and the probabilistic type 2 Euler polynomials associated with Y, along with the probabilistic type 2 cosine -Bernoulli polynomials associated with Y, the probabilistic type 2 sine -Bernoulli polynomials associated with Y, the probabilistic type 2 cosine-Euler polynomials associated with Y, and the probabilistic type 2 sine-Euler polynomials associated with Y. We deal with their properties, related identities and explicit expressions.

引用

页码：14312 / 14324

页数：13

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