6 citations · 16 across the 22 of their papers we have counts for
10 papers · 1 filter
Dimorphic properties of Bernoulli random variable
taekyun Kim, Dae san kim, Hyunseok Lee +1
The aim of this paper is to study a dimorphic property associated with two different sums of identically independent Bernoulli random variables having two different families of pro…
On Some Summation Formulas
Taekyun Kim, Dae San Kim, Hyunseok Kwon +1
In this note, we derive a finite summation formula and an infinite summation formula involving Harmonic numbers of order up to some order by means of several definite integrals
Some identities of fully degenerate Dowling and fully degenerate Bell polynomials arising from lambda-umbral calculus
Yuankui Ma, Taekyun Kim, Hyunseok Lee +1
Recently, Kim-Kim introduced the lambda-umbral calculus, in which the lambda-Sheffer sequences occupy the central position. In this paper, we introduce the fully degenerate Bell an…
Some new properties on degenerate Bell polynomials
Taekyun Kim, Dae San Kim, Hyunseok Lee +1
The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate version of the Bell numbers and polynomials. we derive some new identities and pr…
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…
A study on properties of degenerate and zero-truncated degenerate Poisson random variables
Taekyun Kim, Dae san Kim, Hyunseok Lee +2
Carlitz [2] initiated a study on degenerate versions of Bernoulli and Euler numbers which has been extended recently to the researches on various degenerate versions of quite a few…
Multi-Lah numbers and multi-Stirling numbers of the first kind
Dae San Kim, Hye Kyun Kim, Taekyun Kim +2
In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind and recall multi-Bernoulli numbers, all of whose generating functions are given with the…
Study on q-analogues of Catala-Daehee numbers and polynomials
Yuankui Ma, Taekyun Kim, Dae San Kim +1
Catalan-Daehee numbers and polynomials, generating functions of which can be expressed as p-adic Volkenborn integrals on Zp, were studied previously. The aim of this paper is to in…
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…