38 citations · 162 across the 20 of their papers we have counts for
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A note on Boole polynomials with q-parameter
Dae San Kim, Yu Seon Jang, Taekyn Kim +1
Recently, Boole polynomials have been studied by Kim and Kim over the p-adic number field. In this paper, we consider a q-extension of Boole polynomials by using the fermionic p-ad…
Some identities of higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus
Taekyun Kim, Dae San Kim, Seog-Hoon Rim +1
In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler and H…
Sheffer sequences of polynomials and their applications
Taekyun Kim, Dae San Kim, Seog-Hoon Rim +1
In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesti…
Apostol-Euler polynomials arising from umbral calculus
Taekyun Kim, Toufik Mansour, Seog-Hoon Rim
In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apost…
On the associated sequences of special polynomials
D. S. Kim, T. Kim, S. -H. Rim
In this paper, we investigate some properties of the associated sequence of Daehee and Changhee polynomials. Finally, we give some interesting identities of associated sequence inv…
Umbral calculus and Euler polynomials
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Rece…