Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order
Date
2011
Authors
Simos, Theodore E.
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics
Abstract
The aim of this paper is to define the generating functions of the Bernoulli, Euler and Genocchi polynomials of higher order. By using these generating functions, we derive some identities and relations on these polynomials. Our results generalize the classical Bernoulli, Euler, Genocchi polynomials and also Apostol-Bernoulli, Apostol-Euler and Apostol Genocchi polynomials.
Description
Keywords
Mathematics, Bernoulli numbers of higher order, Bernoulli polynomials of higher order, Euler numbers of higher order, Euler polynomials of higher order, Genocchi numbers of higher order, Genocchi polynomials of higher order, Apostol-bernoulli, Numbers, Zeta, Identities, Extension
Citation
Özden, H. (2011). ''Generating functions of the unified representation of the Bernoulli, Euler and Genocchi polynomials of higher order''. ed. T. E. Simos. Numerical Analysis and Applied Mathematics Icnaam 2011: International Conference on Numerical Analysis and Applied Mathematics, 1389, 349-352.