SYMMETRY IDENTITIES FOR THE 2-VARIABLE UNIFIED APOSTOL-TYPE POLYNOMIALS


KURT B., BİLGİÇ S.

JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, vol.8, no.4, pp.96-103, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 4
  • Publication Date: 2017
  • Journal Name: JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.96-103
  • Keywords: Apostol-Bernoulli numbers and polynomials, Apostol-Euler numbers and polynomials, Apostol-Genocchi numbers and polynomials, The Stirling numbers of the second kind, multiple power-sums, 2-variable Apostol type polynomials, MULTIPLICATION FORMULAS, BERNOULLI, EULER, FAMILIES
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we introduce and investigate 2-variable unified Apostoltype polynomials. We obtain some symmetry identities between these polynomials and the generalized sum of integer powers. We give explicit relation for this unified family. Also, we prove some recurrence relation for these polynomials.