106 citations · 573 across the 226 of their papers we have counts for
19 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…
A finite sum involving generalized falling factorial polynomials and degenerate Eulerian polynomials
Taekyun Kim, Dae San Kim
The aim of this paper is twofold. Firstly, we investigate a finite sum involving the generalized falling factorial polynomials, in some special cases of which we express it in term…
Some identities on degenerate Bell polynomials and their related identities
Taekyun Kim, Dae san kim
Recently, several types of degenerate Bell polynomials have been introduced as degenerate versions of the ordinary Bell polynomials. The aim of this paper is to study some identiti…
A Series transformation formula and related degenerate polynomials
Taekyun Kim, Dae San Kim
Recently, Bovadzhiev studied a power series whose coefficients are binomial expressions and extended some known formulas involving classical special functions and polynomials. The…
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
Representations by ordered Bell and degenerate ordered Bell polynomials
Dae san Kim, Taekyun Kim
In this paper, we consider the problem of representing any polynomial in terms of the ordered Bell and degenerate ordered Bell polynomials, and more generally of the higher-order o…