SOME REMARKS ON THE GENERALIZED APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.50, sa.4, ss.1133-1145, 2019 (SCI-Expanded, Scopus)
- 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.