On some properties of the generalized Bernoulli and Euler polynomials

被引：8

作者：

Brychkov, Yu A. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 10期

关键词：

special functions; Bernoulli polynomials; Euler polynomials; Bernoulli numbers; Euler numbers; differentiation formulas; recurrency relations; summation;

D O I：

10.1080/10652469.2011.627995

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A closed expression, recurrency relation, differentiation formulas and other new relations for the generalized Bernoulli and Euler polynomials are given. Formulas of summation containing the generalized Bernoulli and Euler polynomials and various special functions, are derived.

引用

页码：723 / 735

页数：13

共 5 条

[1]

Brychkov Y., 2008, Handbook of special functions: derivatives, integrals, series and other formulas

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Brychkov, Yu. A. .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (11) :797-804

[3]

Prudnikov A. P., 1983, Special functions

[4] Remarks on some relationships between the Bernoulli and Euler polynomials [J].

Srivastava, HM ;

Pintér, A .

APPLIED MATHEMATICS LETTERS, 2004, 17 (04) :375-380

[5] AN EXPLICIT FORMULA FOR THE GENERALIZED BERNOULLI POLYNOMIALS [J].

SRIVASTAVA, HM ;

TODOROV, PG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 130 (02) :509-513

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