A Note on a New Type of Degenerate Bernoulli Numbers

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 cons...

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Bibliographic Details
Published inRussian journal of mathematical physics Vol. 27; no. 2; pp. 227 - 235
Main Authors Kim, D. S., Kim, T.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.04.2020
Springer Nature B.V
Subjects
Combinatorial analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Polynomials
Theoretical
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920820020090