Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind

被引：0

作者：

Taekyun Kim ^{[1
]}

Dae San Kim ^{[2
]}

机构：

[1] Department of Mathematics, Kwangwoon University

[2] Department of Mathematics, Sogang University

来源：

ScienceChina(Mathematics) | 2019年 / 62卷 / 05期

关键词：

generalized Pascal functional matrix; Wronskian matrix; degenerate Bernoulli polynomial; Krobov polynomial of the first kind;

D O I：

暂无

中图分类号：

O174.14 [多项式理论];

学科分类号：

070104 ;

摘要：

In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices. Then we apply twelve basic identities for Sheffer polynomials, seven from previous results, to degenerate Bernoulli polynomials and Korobov polynomials of the first kind and get some new identities. In addition, letting λ→ 0 in such identities gives us those for Bernoulli polynomials and Bernoulli polynomials of the second kind.

引用

页码：999 / 1028

页数：30

共 4 条

[1] A matrix approach to some identities involving Sheffer polynomial sequences[J] . Dae San Kim,Taekyun Kim.Applied Mathematics and Computation . 2015
[2] Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences[J] . Heekyung Youn,Yongzhi Yang,M. Chlebík,K. Eriksson,M. C. Wilson.ISRN Discrete Mathematics . 2011
[3] A degenerate Staudt-Clausen theorem[J] . L. Carlitz.Archiv der Mathematik . 1956 (1)
[4] More on the umbral calculus, with emphasis on the qq-umbral calculus .2 Steven Roman. J. Math. Anal. Appl . 1985

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