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A Note on a New Type of Degenerate Bernoulli Numbers

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Abstract

Studying degenerate versions of various special polynomials has became an active area of research and has yielded many interesting arithmetic and combinatorial results. Here we introduce a degenerate version of the polylogarithm function, the so-called degenerate polylogarithm function. Then we construct a new type of degenerate Bernoulli polynomial and number, the so-called degenerate poly-Bernoulli polynomial and number, by using the degenerate polylogarithm function, and derive several properties concerning the degenerate poly-Bernoulli numbers.

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Authors and Affiliations

  1. Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea

    D. S. Kim

  2. Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea

    T. Kim

Authors
  1. D. S. Kim
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  2. T. Kim
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Correspondence to D. S. Kim or T. Kim.

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Kim, D.S., Kim, T. A Note on a New Type of Degenerate Bernoulli Numbers. Russ. J. Math. Phys. 27, 227–235 (2020). https://doi.org/10.1134/S1061920820020090

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  • DOI: https://doi.org/10.1134/S1061920820020090

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