A note on new type degenerate Bernoulli numbers
Number Theory
2020-02-12 v1
Abstract
Studying degenerate versions of various special polynomials have become an active area of research and yielded many interesting arithmetic and combinatorial results. Here we introduce a degenerate version of polylogarithm function, called the degenerate polylogarithm function. Then we construct new type degenerate Bernoulli polynomials and numbers, called degenerate poly-Bernoulli polynomials and numbers,by using the degenerate polylogarithm function and derive several properties on the degenerate poly-Bernoulli numbers
Cite
@article{arxiv.2002.04520,
title = {A note on new type degenerate Bernoulli numbers},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:2002.04520},
year = {2020}
}
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9 pages