A novel approach for obtaining new identities of the λ extension of q-Euler polynomials arising from the q-umbral calculus

Araci, SerkanAcikgoz, MehmetDiagana, TokaSrivastava, H.M.2019-07-312019-07-3120172017Araci, 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.010.04.03http://dx.doi.org/10.22436/jnsa.010.04.03http://hdl.handle.net/1828/11007In 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.enq-Apostol-Euler polynomialsq-numbersq-exponential functionq-umbral calculus(?,q)-Euler numbers(?,q)-Euler polynomialsproperties and identitiesA novel approach for obtaining new identities of the λ extension of q-Euler polynomials arising from the q-umbral calculusArticleDepartment of Mathematics and Statistics