Russian Journal of Mathematical Physics· 2020Q2
A Note on a New Type of Degenerate Bernoulli Numbers
- 155citations
- Q2SCImago
- 2020year
Short summary
Researchers introduce a new type of degenerate poly-Bernoulli numbers derived from a novel degenerate polylogarithm function.
AI-generated from the title and abstract; the full text is not read.
Key points
- A new degenerate polylogarithm function has been defined.
- A new type of degenerate poly-Bernoulli polynomial and number has been constructed using the new function.
- Several properties of these degenerate poly-Bernoulli numbers have been derived.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Russian Journal of Mathematical Physics, 2020 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Algebra and Number Theory
Algebra and Number TheoryMathematics