Probabilistic Proofs of Some Relationships Between the Bernoulli and Euler Polynomials

被引：0

作者：

Srivastava, H. M. ^{[1
]}

Vignat, Christophe ^{[2
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Ecole Polytech Fed Lausanne, Informat Theory Lab, CH-1015 Lausanne, Switzerland

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2012年 / 5卷 / 02期

关键词：

Bernoulli polynomials; Euler polynomials; Generating functions; Probabilistic proofs; Umbral calculus;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this article is to provide probabilistic proofs of the relationships between the generalized Bernoulli (or Norlund) polynomials B-n((alpha)) (x) and the generalized Euler polynomials En(a)(x) of (real or complex) order a and degree n in x, which were proved recently by Srivastava and Pinter [11]. Some other approaches to these relationships and their seemingly interesting generalizations are also investigated.

引用

页码：97 / 107

页数：11

共 12 条

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