Some Formulae for Products of Geometric Polynomials with Applications
JOURNAL OF INTEGER SEQUENCES, vol.20, no.4, 2017 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 20 Issue: 4
- Publication Date: 2017
- Journal Name: JOURNAL OF INTEGER SEQUENCES
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Keywords: geometric number, geometric polynomial, Apostol-Bernoulli function, p-Bernoulli number, CONVOLUTION IDENTITIES, BERNOULLI, SUMS, NUMBERS, SERIES
- Akdeniz University Affiliated: No
Abstract
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.