Generalized Tepper’s Identity and Its Application

The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the Bernoulli numbers and polynomials, the Euler nu...

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Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 2; p. 243
Main Authors Kruchinin, Dmitry, Kruchinin, Vladimir, Simsek, Yilmaz
Format Journal Article
LanguageEnglish
Published MDPI AG 01.02.2020
Subjects
bernoulli numbers and polynomials
composition of generating functions
euler numbers and polynomials
frobenius–euler polynomials
generating function
stirling numbers
tepper identity
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Summary:The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the Bernoulli numbers and polynomials, the Euler numbers and polynomials, and the Stirling numbers. Moreover, we give applications related to the Tepper identity and these numbers and polynomials.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8020243