Axioms 2012, 1(3), 395-403; doi:10.3390/axioms1030395
Article

Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials

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Received: 30 October 2012; in revised form: 26 November 2012 / Accepted: 28 November 2012 / Published: 7 December 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers). We derive some identities for these polynomials and numbers based on the generating functions and functional equations. We also give multiplication formula for the generalized Apostol type Frobenius–Euler polynomials.
Keywords: Euler Numbers; Frobenius–Euler Numbers; Frobenius–Euler polynomials; q-Frobenius–Euler polynomials; q-series; Generating function
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MDPI and ACS Style

Simsek, Y. Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials. Axioms 2012, 1, 395-403.

AMA Style

Simsek Y. Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials. Axioms. 2012; 1(3):395-403.

Chicago/Turabian Style

Simsek, Yilmaz. 2012. "Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials." Axioms 1, no. 3: 395-403.

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