SOME REMARKS ON THE GENERALIZED APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS

Boutiche M. A., KARGIN L., Rahmani M.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.50, sa.4, ss.1133-1145, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s13226-019-0380-1
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1133-1145
  • Anahtar Kelimeler: Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Hurwitz-Lerch-Zeta functions, recurrence relations, stirling numbers, WEIGHTED STIRLING NUMBERS, LERCH ZETA-FUNCTIONS, UNIFIED PRESENTATION, IDENTITIES, FAMILIES, 1ST
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we give explicit expressions for generalized Apostol-Bernoulli and Apostol-Euler polynomials. As consequences, we deduce some explicit representations for other Apostol-type polynomials. Moreover, we find an algorithm based on a three-term recurrence for the calculation of generalized Apostol-Euler numbers and polynomials. As an application, we derive a formula for the values of some kinds of Hurwitz-Lerch Zeta functions at negative arguments.