A novel approach for obtaining new identities of the λ extension of q-Euler polynomials arising from the q-umbral calculus
Date
2017
Authors
Araci, Serkan
Acikgoz, Mehmet
Diagana, Toka
Srivastava, H.M.
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Nonlinear Sciences and Applications
Abstract
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral calculus.
Description
Keywords
q-Apostol-Euler polynomials, q-numbers, q-exponential function, q-umbral calculus, (λ،q)-Euler numbers, (λ،q)-Euler polynomials, properties and identities
Citation
Araci, S.; Acikgoz, M.; Diagana, T.; & Srivastava, H. M. (2017). A novel approach for obtaining new identities of the λ extension of q-Euler polynomials arising from the q-umbral calculus. Journal of Nonlinear Sciences and Applications, 10(4), 1316- 1325. DOI: 10.22436/jnsa.010.04.03