Some Formulae for Products of Geometric Polynomials with Applications

Kargin L.

JOURNAL OF INTEGER SEQUENCES, cilt.20, sa.4, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF INTEGER SEQUENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: geometric number, geometric polynomial, Apostol-Bernoulli function, p-Bernoulli number, CONVOLUTION IDENTITIES, BERNOULLI, SUMS, NUMBERS, SERIES
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this paper, wee evaluate sums and integrals of products of two geometric polynomials and obtain new explicit formulas for geometric polynomials and numbers. As a consequence of these results, we give new explicit formulas for p-Bernoulli numbers, Apostol-Bernoulli functions, and integrals of products of two Apostol-Bernoulli functions.