Some Formulae for Products of Geometric Polynomials with Applications
Levent Kargın
Akseki Vocational School
Alanya Alaaddin Keykubat University
TR-07630 Antalya
Turkey
Abstract:
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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