Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Copyright policy )Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
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.
- Kunming University of Science and Technology China (People's Republic of)
- Hasan Kalyoncu University Turkey
- Zewail City of Science and Technology Egypt
- University of Victoria Canada
- China Medical University Taiwan
Apostol-Genocchi polynomials, Stirling numbers of the first and second kind, Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; convolution identities; stirling numbers of the first and second kind, Apostol-Bernoulli polynomials, QA1-939, Apostol-Euler polynomials, convolution identities, stirling numbers of the first and second kind, Bernoulli and Euler numbers and polynomials, Mathematics
Apostol-Genocchi polynomials, Stirling numbers of the first and second kind, Apostol-Bernoulli polynomials; Apostol-Euler polynomials; Apostol-Genocchi polynomials; convolution identities; stirling numbers of the first and second kind, Apostol-Bernoulli polynomials, QA1-939, Apostol-Euler polynomials, convolution identities, stirling numbers of the first and second kind, Bernoulli and Euler numbers and polynomials, Mathematics
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