Powers under umbral composition and degeneration for Sheffer sequences

被引：2

作者：

Kim, Dae San ^{[1
]}

Kim, Taekyun ^{[2
,3
]}

Kwon, Hyuck In ^{[3
]}

Mansour, Toufik ^{[4
]}

机构：

[1] Sogang Univ, Dept Math, Seoul 121742, South Korea

[2] Tianjin Polytech Univ, Dept Math, Coll Sci, Tianjin 300387, Peoples R China

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

[4] Univ Haifa, Dept Math, IL-3498838 Haifa, Israel

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

关键词：

umbral composition; degeneration; Sheffer sequence; umbral calculus; Bernoulli polynomials; Korobov polynomials; falling factorial polynomials; Bell polynomials; NUMBERS;

D O I：

10.1186/s13662-016-0795-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the powers under umbral composition and degeneration for Sheffer sequences, where we presented several applications related to Bernoulli polynomials, Frobenius-Euler polynomials, falling factorial polynomials and Bell polynomials and their degeneration cases.

引用

页数：11

共 10 条

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