Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol- Genocchi Polynomials
Date
2018-12
Authors
He, Yuan
Araci, Serkan
Srivastava, H.M.
Abdel-Aty, Mahmoud
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we establish some higher-order convolutions for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. Some results presented here are the corresponding extensions of several known formulas.
Description
Keywords
Apostol-Bernoulli polynomials, Apostol-Euler polynomials, Apostol-Genocchi polynomials, convolution identities, stirling numbers of the first and second kind
Citation
He, Y., Araci, S., Srivastava, H.M. & Abdel-Aty, M. (2018). Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials. Mathematics, 6(12), 329. https://doi.org/10.3390/math6120329