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Summation formulas for the products of the Frobenius–Euler polynomials

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Abstract

We present here a further investigation for the classical Frobenius–Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the products of an arbitrary number of the classical Frobenius–Euler polynomials. The results presented here are generalizations of the corresponding known formulas for the classical Bernoulli polynomials and the classical Euler polynomials.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kunming University of Science and Technology, Kunming, 650500, Yunnan, People’s Republic of China

    Yuan He

  2. Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, 27410, Gaziantep, Turkey

    Serkan Araci

  3. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, Canada

    H. M. Srivastava

  4. China Medical University, Taichung, 40402, Taiwan, ROC

    H. M. Srivastava

Authors
  1. Yuan He
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  2. Serkan Araci
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  3. H. M. Srivastava
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Corresponding author

Correspondence to Serkan Araci.

Additional information

This work was supported by the Foundation for Fostering Talents in Kunming University of Science and Technology (Grant No. KKSY201307047) and the National Natural Science Foundation of P.R. China (Grant No. 11326050).

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He, Y., Araci, S. & Srivastava, H.M. Summation formulas for the products of the Frobenius–Euler polynomials. Ramanujan J 44, 177–195 (2017). https://doi.org/10.1007/s11139-016-9802-4

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  • DOI: https://doi.org/10.1007/s11139-016-9802-4

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