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- W4296843600 abstract "Abstract The aim of this article is to study the fully degenerate Bernoulli polynomials and numbers, which are a degenerate version of Bernoulli polynomials and numbers and arise naturally from the Volkenborn integral of the degenerate exponential functions on <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi mathvariant=double-struck>Z</m:mi> </m:mrow> <m:mrow> <m:mi>p</m:mi> </m:mrow> </m:msub> </m:math> {{mathbb{Z}}}_{p} . We find some explicit expressions for the fully degenerate Bernoulli polynomials and numbers in terms of the degenerate Stirling numbers of the second kind, the degenerate <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>r</m:mi> </m:math> r -Stirling numbers of the second kind, and the degenerate Stirling polynomials. We also consider the degenerate poly-Bernoulli polynomials and derive explicit representations for them in terms of the same degenerate Stirling numbers and polynomials." @default.
- W4296843600 created "2022-09-24" @default.
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- W4296843600 date "2022-01-01" @default.
- W4296843600 modified "2023-09-29" @default.
- W4296843600 title "Fully degenerate Bernoulli numbers and polynomials" @default.
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- W4296843600 doi "https://doi.org/10.1515/dema-2022-0160" @default.
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