Some Symmetry Identities for the Unified Apostol-Type Polynomials and Multiple Power Sums

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Kurt V.

FILOMAT, vol.30, no.3, pp.583-592, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603583k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.583-592
  • Keywords: Bernoulli polynomials and numbers, Euler polynomials and numbers, Apostol-Bernoulli polynomials and numbers, Apostol-Euler polynomials and numbers, Stirling numbers of second kind, unified Apostol-Bernoulli, Euler and Genocchi polynomials, modified Apostol-type polynomials, ARRAY TYPE POLYNOMIALS, GENERATING-FUNCTIONS, MULTIPLICATION FORMULAS, BERNOULLI, NUMBERS, EULER, FAMILIES
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

The purpose of this paper is to introduce and investigate a new unification of unified family of Apostol-type polynomials and numbers. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We give explicit relations for these polynomials and recurrence relations related to multiple power sums.