21 citations · 46 across the 17 of their papers we have counts for
17 papers
Some results on r-truncated degenerate Poisson Random Variables
Taekyun Kim, Dae san Kim, Si-Hyeon Lee +2
The zero-truncated Poisson distributions are certain discrete probability distributions whose supports are the set of positive integers, which are also known as the conditional Poi…
Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Taekyun Kim, Dae san Kim, Lee-Chae jang +2
In a previous paper, Rahmani introduced a new family of p-Bernoulli numbers and polynomials by means of the Gauss hypergeometric function. Motivated by this paper and as a degenera…
Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
Taekyun Kim, Dae San Kim, Lee-Chae Jang +2
The nth r-extended Lah-Bell number is defined as the number of ways a set with elements can be partitioned into ordered blocks such that r distinguished elements have to be i…
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…