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- W2980764536 abstract "Abstract In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p -adic integrals on $mathbb{Z}_{p}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>Z</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> . Specifically, we obtain a recursive formula for alternating integer power sums and representations of alternating integer power sum polynomials in terms of Euler polynomials and Stirling numbers of the second kind, as well as various properties about Euler numbers and polynomials. In addition, we deduce representations of degenerate alternating integer power sum polynomials in terms of degenerate Euler polynomials and degenerate Stirling numbers of the second kind, as well as certain properties on degenerate Euler numbers and polynomials." @default.
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- W2980764536 date "2019-10-17" @default.
- W2980764536 modified "2023-09-26" @default.
- W2980764536 title "Ordinary and degenerate Euler numbers and polynomials" @default.
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- W2980764536 doi "https://doi.org/10.1186/s13660-019-2221-5" @default.
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