Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOTE ON q-ANALOGUE OF POLY-EULER POLYNOMIALS AND ARAKAWA-KANEKO TYPE ZETA FUNCTION

  • Received : 2020.09.11
  • Accepted : 2020.09.23
  • Published : 2020.09.30
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Abstract

In this paper, we define a q-analogue of the poly-Euler numbers and polynomials which is generalization of the poly Euler numbers and polynomials including q-analogue of polylogarithm function. We also give the relations between generalized poly-Euler polynomials. Furthermore, we introduce zeta fuctions of Arakawa-Kaneko type and talk their properties and the relation with q-analogue of poly-Euler polynomials.

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References

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