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Identities of Symmetry for Degenerate Euler Polynomials and Alternating Generalized Falling Factorial Sums

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... Full description

Journal Title: Iranian Journal of Science and Technology 2017, Vol.41(4), pp.939-949
Main Author: Kim, Taekyun
Other Authors: Kim, Dae
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: ISSN: 10286276 ; E-ISSN: 23641819 ; DOI: 10.1007/s40995-017-0326-6
Link: http://search.proquest.com/docview/2133379359/?pq-origsite=primo
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title: Identities of Symmetry for Degenerate Euler Polynomials and Alternating Generalized Falling Factorial Sums
format: Article
creator:
  • Kim, Taekyun
  • Kim, Dae
subjects:
  • Falling
  • Sums
  • Symmetry
  • Symmetry
  • Polynomials
  • Integrals
ispartof: Iranian Journal of Science and Technology, 2017, Vol.41(4), pp.939-949
description: 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.
language: eng
source:
identifier: ISSN: 10286276 ; E-ISSN: 23641819 ; DOI: 10.1007/s40995-017-0326-6
fulltext: fulltext
issn:
  • 10286276
  • 1028-6276
  • 23641819
  • 2364-1819
url: Link


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descriptionEight 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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abstractEight 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.
copShiraz
pubSpringer Nature B.V.
doi10.1007/s40995-017-0326-6
urlhttp://search.proquest.com/docview/2133379359/
date2017-12