activity
20202025
most citedSome identities of fully degenerate Dowling and fully degenerate Bell polynomials arising from lambda-umbral calculus

6 citations · 11 across the 12 of their papers we have counts for

collaborators

12 papers

math.NT2025

Probabilistic degenerate poly-Bell polynomials associated with random variables

Pengxiang Xue, Yuankui Ma, Taekyun Kim +2

Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynom…

math.NT2024

Probabilistic degenerate Bernstein polynomials

Jinyu Wang, Yuankui Ma, Taekyun Kim +1

In recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials an…

math.NT2024★ 1 cited

Probabilistic Lah numbers and Lah-Bell polynomials

Yuankui Ma, Taekyun Kim, Dae San Kim

Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. The aim of this paper is to study the probabilistic Lah numbers associated wi…

math.PR2024★ 1 cited

Probabilistic degenerate Fubini polynomials associated with random variables

Rongrong Xu, Taekyun Kim, Dae San Kim +1

Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study probabilistic versions of the deg…

math.CO2022

A new type of degenerate poly-Euler polynomials

Yuankui Ma, Taekyun Kim, Hongze Li

Many mathematicians have been studying various degenerate versions of special polynomials and numbers in some arithmetic and combinatorial aspects. Our main focus here is a new typ…

math.MG2022

Coarse structure of ultrametric spaces with applications

Yuankui Ma, Jeremy Siegert, Jerzy Dydak

We show how to decompose all separable ultrametric spaces into a "Lego" combinations of scaled versions of full simplices. To do this we introduce metric resolutions of large scale…

math.MG2021

Universal spaces for asymptotic dimension zero

Yuankui Ma, Jeremy Siegert, Jerzy Dydak

Dranishnikov and Zarichnyi constructed a universal space in the coarse category of spaces of bounded geometry of asymptotic dimension . In this paper we construct universal spac…

math.MG2021

Ends of large scale groups

Yuankui Ma, Hussain Rashed, Jerzy Dydak

The aim of this paper is to unify the theory of ends of finitely generated groups with that of ends of locally compact, metrizable and connected topological groups. In both theorie…

math.NT2021★ 6 cited

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…

math.NT2021★ 1 cited

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…

math.MG2021★ 2 cited

Coarse Freundenthal compactification and ends of groups

Yuankui Ma, Jerzy Dydak

A coarse compactification of a proper metric space is any compactification of that is dominated by its Higson compactification. In this paper we describe the maximal coarse…

math.NT2020

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…