3 papers
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.CA2024
Some identities on degenerate trigonometric functions
Taekyun Kim, Dae San kim
In this paper, we study several degenerate trigonometric functions, which are degenerate versions of the ordinary trigonometric functions, and derive some identities among such fun…
math.NT2024
A probabilistic proof of a recurrence relation for sums of values of degenerate falling factorials
Taekyun Kim, Dae san Kim
In this paper, we consider sums of values of degenerate falling factorials and give a probabilistic proof of a recurrence relation for them. This may be viewed as a degenerate vers…