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

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INT SCIENTIFIC RESEARCH PUBLICATIONS

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info:eu-repo/semantics/embargoedAccess

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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. (C) 2017 All rights reserved.

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q-Apostol-Euler polynomials; q-numbers; q-exponential function; q-umbral calculus; (lambda,q)-Euler numbers; (lambda, q)-Euler polynomials; properties and identities

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JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

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10

Issue

4

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Araci, S., Acikgoz, M., Diagana, T., & Srivastava, H. M. (April 02, 2017). A novel approach for obtaining new identities for the lambda extension of q-Euler polynomials arising from the q-umbral calculus. The Journal of Nonlinear Sciences and Applications, 10, 4, 1316-1325.

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