Some Explicit Formulas for the Frobenius-Euler Polynomials of Higher Order

Authors

H. M. Srivastava, Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada \\ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of ChinaFollow
Mohamed Amine Boutiche, USTHB, LaROMaD, Faculty of Mathematics, P. O. Box 32, El Alia 16111, Algiers, AlgeriaFollow
Mourad Rahmani, USTHB, Faculty of Mathematics, P. O. Box 32, El Alia 16111, Algiers, AlgeriaFollow

Author Country (or Countries)

Republic of China

Abstract

The object of the present paper is to investigate a class of three-term recurrence relations for the Frobenius-Euler polynomials of higher order. By making use of a new explicit formula for the Frobenius-Euler polynomials of higher order in terms of the weighted Stirling numbers of the second kind, we provide an algorithm for calculating these polynomials. Furthermore, as an application of the results derived in this paper, we present an algorithm for computing the Lipschitz-Lerch zeta function at nonnegative integer arguments.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110234

Recommended Citation

M. Srivastava, H.; Amine Boutiche, Mohamed; and Rahmani, Mourad (2017) "Some Explicit Formulas for the Frobenius-Euler Polynomials of Higher Order," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 34.
DOI: http://dx.doi.org/10.18576/amis/110234
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/34