5 citations · 22 across the 12 of their papers we have counts for
14 papers · 1 filter
A note on new type degenerate Srirling numbers of the first kind
Taekyun Kim, Dae san Kim, Kyo-Shin Hwang +1
We introduce a new sequence of unsigned degenerate Stirling numbers of the first kind. Following the work of Adell-Lekuona, who represented unsigned Stirling numbers of the first k…
Probabilistic degenerate derangement polynomials
Taekyun Kim, Dae San Kim
In combinatorics, a derangement is a permutation of the elements of a set, such that no element appears in its original position. The number of derangement of an n-element set is c…
A new approach to Bell and poly-Bell numbers and polynomials
Dae San Kim, Dmitry V. Dolgy, Hye-Kyung Kim +2
The aim of this paper is to introduce Bell polynomials and numbers of the second kind and poly-Bell polynomials and numbers of the second kind, and to derive their explicit express…
Some identities on r-central factorial numbers and r-central Bell polynomials
Dae San Kim, Dmitry V. Dolgy, Dojin Kim +1
In this paper, we introduce the extended r-central factorial numbers of the second and first kinds and the extended r-central Bell polynomials, as extended versions and central ana…
A note on Carlitz's type q-Changhee numbers and polynomials
D. V. Dolgy, G. W. Janf, H. I. Kwon +1
In this paper, we consider the Carlitz's type q-analogue of Changhee numbers and polynomials and we give some explicit formulae for these numbers and polynomials.
Differential equations for Changhee polynomials and their applications
Dmitry V. Dolgy, Dae san Kim, Taekyun Kim +1
Recently, the non-linear Changhee differential equations were introduced in [5] and these differential equations turned out to be very useful for studying special polynomials and m…