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A Note on Legendre-Based Multi Poly-Eule Polynomials

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Abstract

In this paper, we aim to introduce Legendre-based poly-Euler polynomials and Legendre-based Multi Poly-Euler polynomials and investigate some related identities and formulas such as addition formulas, implicit summation formula, and symmetry identities. We also point out that the results presented here, being very general, can be specialized to give many known and new identities and formulas involving relatively simple numbers and polynomials.

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Authors and Affiliations

  1. Department of Mathematics, Dongguk University, Gyeongju, 38066, Republic of Korea

    Junesang Choi

  2. Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, 202002, India

    Nabiullah Khan

  3. Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia (A Central University), New Delhi, 110025, India

    Talha Usman

Authors
  1. Junesang Choi
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  2. Nabiullah Khan
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  3. Talha Usman
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Correspondence to Junesang Choi.

Additional information

Communicated by Touraj Nikazad.

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Choi, J., Khan, N. & Usman, T. A Note on Legendre-Based Multi Poly-Eule Polynomials. Bull. Iran. Math. Soc. 44, 707–717 (2018). https://doi.org/10.1007/s41980-018-0045-6

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  • DOI: https://doi.org/10.1007/s41980-018-0045-6

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