4 papers
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…
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…
A note on new type degenerate Srirling numbers of the first kind
Taekyun Kim, Dae san Kim, Kyo-Shin Hwang +1
We introduce a new sequence of unsigned degenerate Stirling numbers of the first kind. Following the work of Adell-Lekuona, who represented unsigned Stirling numbers of the first k…
Several expressions for degenerate harmonic numbers and some related numbers
Taekyun Kim, Dae san Kim, Kyo-Shin Hwang
Many authors have recently studied the degenerate harmonic numbers. This paper makes two main contributions. First, we derive several explicit expressions for these numbers, which…