Geodesic
Some formulae for products of geometric polynomials with applications
Journal of integer sequences, Tome 20 (2017) no. 4
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 
@article{JIS_2017__20_4_a7,
     author = {Karg{\i}n,  Levent},
     title = {Some formulae for products of geometric polynomials with applications},
     journal = {Journal of integer sequences},
     year = {2017},
     volume = {20},
     number = {4},
     zbl = {1394.11022},
     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/