• Title/Summary/Keyword: poly-Euler number

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ON POLY-EULERIAN NUMBERS

  • Son, Jin-Woo;Kim, Min-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.47-61
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    • 1999
  • In this paper we difine poly-Euler numbers which generalize ordinary Euler numbers. We construct a p-adic poly-Euler measure by the poly-Euler polynomials and derive an integral formula.

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DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS

  • Kurt, Burak
    • Communications of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.19-26
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    • 2021
  • Degenerate versions of the special polynomials and numbers since they have many applications in analytic number theory, combinatorial analysis and p-adic analysis. In this paper, we define the degenerate poly-Euler numbers and polynomials arising from the modified polyexponential functions. We derive explicit relations for these numbers and polynomials. Also, we obtain some identities involving these polynomials and some other special numbers and polynomials.