IDENTITIES OF SYMMETRY FOR DEGENERATE EULER POLYNOMIALS AND ALTERNATING GENERALIZED FALLING FACTORIAL SUMS

Document Type : Regular Paper

Authors

1 Kwangwoon University, South Korea

2 Sogang University

Abstract

Eight basic identities of symmetry in three variables, which are

related to degenerate Euler polynomials and alternating generalized falling

factorial sums, are derived. These are the degenerate versions of the symmetric

identities in three variables obtained in a previous paper. The derivations of

identities are based on the p-adic integral expression of the generating function

for the degenerate Euler polynomials and the quotient of integrals that can be

expressed as the exponential generating function for the alternating generalized

falling factorial sums. Those eight basic identities and most of their corollaries

are new, since there have been results only about identities of symmetry in

two variables.

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Iranian Journal of Science

Articles in Press, Accepted Manuscript
Available Online from 25 January 2016

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