A FURTHER GENERALIZATION OF APOSTOL-BERNOULLI POLYNOMIALS AND RELATED POLYNOMIALS

- Journal title : Honam Mathematical Journal
- Volume 34, Issue 3, 2012, pp.311-326
- Publisher : The Honam Mathematical Society
- DOI : 10.5831/HMJ.2012.34.3.311

Title & Authors

A FURTHER GENERALIZATION OF APOSTOL-BERNOULLI POLYNOMIALS AND RELATED POLYNOMIALS

Tremblay, R.; Gaboury, S.; Fugere, J.;

Tremblay, R.; Gaboury, S.; Fugere, J.;

Abstract

The purpose of this paper is to introduce and investigate two new classes of generalized Bernoulli and Apostol-Bernoulli polynomials based on the definition given recently by the authors [29]. In particular, we obtain a new addition formula for the new class of the generalized Bernoulli polynomials. We also give an extension and some analogues of the Srivastava-Pintr addition theorem [28] for both classes. Finally, by making use of the new adition formula, we exhibit several interesting relationships between generalized Bernoulli polynomials and other polynomials or special functions.

Keywords

Generalized Bernoulli polynomials;Generalized Apostol-Bernoulli polynomials;Generalized Apostol-Euler polynomials;Generating Functions;Addition Theorem;Special Functions;

Language

English

Cited by

1.

SOME EXPLICIT FORMULAS FOR CERTAIN NEW CLASSES OF BERNOULLI, EULER AND GENOCCHI POLYNOMIALS,;;;

Proceedings of the Jangjeon Mathematical Society, 2014. vol.17. 1, pp.115-123

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