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September 2018 Modified Apostol-Euler numbers and polynomials of higher order
Maged G. Bin-Saad, Ali Z. Bin-Alhag
Tbilisi Math. J. 11(4): 53-66 (September 2018). DOI: 10.32513/tbilisi/1546570885

Abstract

The purpose of this work is to give modified definitions of Apostol-Euler polynomials and numbers of higher order. We establish their elementary properties, sums, explicit relations, integrals and differential relations. A number of new results which introduced are generalization of known results and their special cases lead to the corresponding formulas of the classical Euler numbers and polynomials.

Citation

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Maged G. Bin-Saad. Ali Z. Bin-Alhag. "Modified Apostol-Euler numbers and polynomials of higher order." Tbilisi Math. J. 11 (4) 53 - 66, September 2018. https://doi.org/10.32513/tbilisi/1546570885

Information

Received: 15 December 2017; Accepted: 3 July 2018; Published: September 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07172288
MathSciNet: MR3954207
Digital Object Identifier: 10.32513/tbilisi/1546570885

Subjects:
Primary: 11B68
Secondary: 11B73, 33C05

Rights: Copyright © 2018 Tbilisi Centre for Mathematical Sciences

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Vol.11 • No. 4 • September 2018
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