6 citations · 16 across the 22 of their papers we have counts for
19 papers · 1 filter
Degenerate Euler- Seidel Method for degenerate Bernoulli, Euler, and Genocchi polynomials
Taekyun Kim, Dae San Kim, Hyunseok Lee +1
This paper introduces a degenerate version of the Euler-Seidel method by incorporating a parameter lambda into the classical recurrence relation. We define a degenerate Euler-Seide…
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…
Representations of degenerate poly-Bernoulli polynomials
Taekyun Kim, Dae San Kim, Jongkyum Kwon +1
As is well-known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate version of such functions and polynomials, degenerate polyloga…
poly-Dedekind type DC sums involving poly-Euler functions
Yuankui Ma, Dae san Kim, Hyunseok Lee +2
The classical Dedekind sums appear in the transformation behavior of the logarithm of the Dedekind eta-function under substitutions from the modular group. The Dedekind sums and th…
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…
Identities on poly-Dedekind sums
Taekyun Kim, Dae san Kim, Hyunseok Lee +1
Dedekind sums occur in the transformation behaviour of the logarithm of the Dedekind eta-function under substitutions from the modular group. In 1892, Dedekind showed a reciprocity…
Jindalrae and Gaenari numbers and polynomials
Taekyun Kim, Dae San Kim, Lee-Chae jang +1
The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers of the first and second kinds. For this purpose, we fi…
Degenerate hypergeometric functions and degenerate hypergeometric numbers of order p
Taekyun Kim, Dae San Kim, Hyunseok Lee
In this paper, we introduce degenertae generalized hypergeometric functions and study degenerate hypergeometric numbers of order p. These numbers involving of lambda-binomial coeff…
A note on degenerate Euler and Bernoulli polynomials of complex variable
Dae San Kim, Taekyun kim, Hyunseok Lee
In this paper, we study the degenerate version of the new type Euler polynomials, namely degenerate cosine-Euler polynomials and sime-Euler polynomials and also corresponding ones…