Geodesic
A novel approach for obtaining new identities for the lambda extension of q-Euler polynomials arising from the q-umbral calculus
Araci, Serkan1 ; Acikgoz, Mehmet2 ; Diagana, Toka3 ; Srivastava, H. M.4
1 Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey
2 Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, TR-27310 Gaziantep, Turkey
3 Department of Mathematics, Howard University, 2441 6th Street, NW Washington 20059, D.C., U.S.A
4 Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada;China Medical University, Taichung 40402, Taiwan, Republic of China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 4, p. 1316-1325.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.04.03
Classification : 11B68, 11S80, 11B65, 33D15
Keywords: \(q\)-Apostol-Euler polynomials, \(q\)-numbers, \(q\)-exponential function, \(q\)-umbral calculus, (\(\lambda،q\))-Euler numbers, (\(\lambda،q\))-Euler polynomials, properties and identities.

Araci, Serkan 1 ; Acikgoz, Mehmet 2 ; Diagana, Toka 3 ; Srivastava, H. M. 4

1 Department of Economics, Faculty of Economics, Administrative and Social Science, Hasan Kalyoncu University, TR-27410 Gaziantep, Turkey
2 Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, TR-27310 Gaziantep, Turkey
3 Department of Mathematics, Howard University, 2441 6th Street, NW Washington 20059, D.C., U.S.A
4 Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada;China Medical University, Taichung 40402, Taiwan, Republic of China 
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Araci, Serkan; Acikgoz, Mehmet; Diagana, Toka; Srivastava, H. M. A novel approach for obtaining new identities for the lambda extension of q-Euler polynomials arising from the q-umbral calculus. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 4, p. 1316-1325. doi : 10.22436/jnsa.010.04.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.04.03/

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