Generalized Tepper’s Identity and Its Application

Dmitry Kruchinin, Vladimir Kruchinin and Yilmaz Simsek
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Dmitry Kruchinin: Department of Complex Information Security of Computer Systems, Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia
Vladimir Kruchinin: Institute of Innovation, Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia
Yilmaz Simsek: Department of Mathematics, Akdeniz University, 07070 Antalya, Turkey

Mathematics, 2020, vol. 8, issue 2, 1-12

Abstract: 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.

Keywords: Tepper identity; generating function; composition of generating functions; Bernoulli numbers and polynomials; Euler numbers and polynomials; Stirling numbers; Frobenius–Euler polynomials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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