Geodesic
Some formulae for products of geometric polynomials with applications
Journal of integer sequences, Tome 20 (2017) no. 4.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 11B83, 11B68, 11B75
Keywords: geometric number, geometric polynomial, Apostol-Bernoulli function, p-Bernoulli number 
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     author = {Karg{\i}n, Levent},
     title = {Some formulae for products of geometric polynomials with applications},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a7/}
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Kargın, Levent. Some formulae for products of geometric polynomials with applications. Journal of integer sequences, Tome 20 (2017) no. 4. http://geodesic.mathdoc.fr/item/JIS_2017__20_4_a7/