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

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Kurt V.

FILOMAT, cilt.30, sa.3, ss.583-592, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603583k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.583-592
  • Anahtar Kelimeler: 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
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.