arXiv subjects

Dae san kim

Publications and source records attributed to Dae san kim.

4 recordsLinked to original sources

arXiv2021

Dimorphic properties of Bernoulli random variable

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 probability mass functions. In addition, we give two expressions on sums of products of degenerate Stirling numbers of the second kind and Stirling numbers of the first kind connected with those two different sums of identically independent Bernoulli random variables.

math.NT↗

arXiv2021

Some identities on degenerate Bell polynomials and their related identities

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 identities for the degenerate Bell polynomials and their related identities by making use of series transformation formula obtained by Boyadzhiev. In particular, this answers to the natural question about the relationship between two different types of degenerate Bell polynomials.

math.NT↗

arXiv2017

Degenrate Eulerian numbers and polynomials

In this paper, we study the degenerate Eulerian polynomials and numbers and give some new and interesting identities associated with several special numbers and polynomials.

math.NT↗

arXiv2016

Some identities of Chebyshev polynomials arising from nonlinear differential equations

In this paper, we investigate some properties of Chebyshev polynomials arising from non-linear differential equations. From our investigation, we derive some new and interesting identities on Chebyshev polynomials.

math.NT↗