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2019 Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
H.M. Srivastava, M. Masjed-Jamei, M.R. Beyki
Rocky Mountain J. Math. 49(2): 681-697 (2019). DOI: 10.1216/RMJ-2019-49-2-681

Abstract

By means of six specific generating functions, we introduce a type of generalized parametric Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials and systematically study their basic properties. As an application of the new polynomials, we use them in computing a new series of Taylor-type.

Funding Statement

The second author was supported by the Alexander von Humboldt Foundation, grant No. 3.4-IRN-1128637-GF-E.

Citation

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H.M. Srivastava. M. Masjed-Jamei. M.R. Beyki. "Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials." Rocky Mountain J. Math. 49 (2) 681 - 697, 2019. https://doi.org/10.1216/RMJ-2019-49-2-681

Information

Received: 2 August 2018; Revised: 22 August 2018; Published: 2019
First available in Project Euclid: 23 June 2019

zbMATH: 07079991
MathSciNet: MR3973247
Digital Object Identifier: 10.1216/RMJ-2019-49-2-681

Subjects:
Primary: 11B68, 11B73
Secondary: 11B83, 26C05

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 2 • 2019
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