no code implementations • 11 Dec 2020 • TaeKyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee
Recently, as degenerate version of such functions and polynomials, degenerate polylogarithm functions were introduced and degenertae poly-Bernoulli polynomials were defined by means of the degenerate polylogarithm functions, and some their properties were investigated.
Number Theory 11B68, 11B73, 11B83, 05A40
no code implementations • 28 Oct 2020 • TaeKyun Kim, Dae San Kim, Lee-Chae Jang, Hyunseok Lee, Hanyoung Kim
We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials.
Number Theory 05A40, 11B68, 11B83
no code implementations • 10 Sep 2020 • TaeKyun Kim, Dae San Kim, Hyunseok Lee, Lee-Chae Jang
Dedekind sums occur in the transformation behaviour of the logarithm of the Dedekind eta-function under substitutions from the modular group.
Number Theory 11F20, 11B68, 11B8
