Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials (Q2337298)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials |
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Higher-order convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials (English)
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19 November 2019
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Summary: 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.
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Apostol-Bernoulli polynomials
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Apostol-Euler polynomials
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Apostol-Genocchi polynomials
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convolution identities
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Stirling numbers of the first and second kind
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