Combinatorial Identities for the Tricomi Polynomials

被引：0

作者：

Munarini, Emanuele ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, Milan, Italy

来源：

JOURNAL OF INTEGER SEQUENCES | 2020年 / 23卷 / 09期

关键词：

combinatorial sum; binomial sum; Sheffer sequence; Appell sequence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the technique of formal power series, we obtain some two-parameter binomial identities for the Tricomi polynomials. Moreover, we establish some relations between the Tricomi polynomials, the generalized derangement polynomials, and the Touchard polynomials. Finally, we obtain a characterization of the rising and falling factorial powers by means of a generalized binomial theorem.

引用

页数：13

共 42 条

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