106 citations · 573 across the 226 of their papers we have counts for
16 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…
Probabilistic Stirling numbers associated with sequences
Dae San Kim, Taekyun Kim
Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. Recently, probabilistic Stirling numbers of the first kind and of the second kin…
A Generalized Recurrence for fully degenerate Bell polynomials
Taekyun Kim, Dae San Kim
This paper addresses the unnatural appearance of the two-variable degenerate Fubini polynomials in a recently derived Spivey-type recurrence relation for the fully degenerate Bell…
Representations by probabilistic Bernoulli and degenerate Bernoulli polynomials
Dae san Kim, Taekyun Kim
We investigate the representation of arbitrary polynomials using probabilistic Bernoulli and degenerate Bernoulli polynomials associated with a random variable , whose moment ge…
Recurrence relations for harmonic and derangement numbers
Taekyun Kim, Dae san Kim, Jongkyum Kwon +1
We use elementary methods to establish three key recurrence relations: one for derangement numbers, a second for harmonic numbers, and a third for degenerate harmonic numbers. Our…
Spivey-type recurrence relation for fully degenerate Bell polynomials
Taekyun Kim, Dae San Kim
Spivey's combinatorial method revealed an important identity for Bell numbers, involving Stirling numbers of the second kind. This paper extends his work by deriving Spivey-type re…