Journal of Integer Sequences, Vol. 20 (2017), Article 17.4.4

Some Formulae for Products of Geometric Polynomials with Applications

Levent Kargın
Akseki Vocational School
Alanya Alaaddin Keykubat University
TR-07630 Antalya


In this paper, we 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.

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(Concerned with sequences A000670.)

Received September 21 2016; revised version received February 2 2017; February 6 2017. Published in Journal of Integer Sequences, February 9 2017.

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