Powers under umbral composition and degeneration for Sheffer sequences
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- 作者：Dae San Kim ; Taekyun Kim ; Hyuck In Kwon ; Toufik Mansour
- 关键词：umbral composition ; degeneration ; Sheffer sequence ; umbral calculus ; Bernoulli polynomials ; Korobov polynomials ; falling factorial polynomials ; Bell polynomials
- 刊名：Advances in Difference Equations
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：2016
- 期：1
- 全文大小：1,341 KB
- 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
- 出版者：Springer International Publishing
- ISSN：1687-1847
文摘
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.