106 citations · 573 across the 226 of their papers we have counts for
20 papers · 1 filter
Representations of degenerate poly-Bernoulli polynomials
Taekyun Kim, Dae San Kim, Jongkyum Kwon +1
As is well-known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate version of such functions and polynomials, degenerate polyloga…
A note on truncated degenerate Bell polynomials
Taekyun Kim, Dae san Kim
The aim of this paper is to introduce truncated degenerate Bell polynomials and numbers and to investigate some of their properties. In more detail, we obtain explicit expressions,…
poly-Dedekind type DC sums involving poly-Euler functions
Yuankui Ma, Dae san Kim, Hyunseok Lee +2
The classical Dedekind sums appear in the transformation behavior of the logarithm of the Dedekind eta-function under substitutions from the modular group. The Dedekind sums and th…
A note on degenerate derangement polynomials and numbers
Taekyun Kim, Dae san Kim, Hyunseok Lee +1
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the dege…
Some identities involving derangement polynomials and numbers
Taekyun Kim, Dae San Kim, Lee-Chae Jang +1
The problem of counting derangements was initiated by Pierre Remonde de Motmort in 1708. A derangement is a permutation that has no fixed points and the derangement number Dn is th…
Representations of degenerate Hermite polynomials
Taekyun Kim, Dae San Kim, Lee-Chae Jang +2
We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Then, among other things, by using the formula about representing one lambd…