38 citations · 162 across the 20 of their papers we have counts for
4 papers · 2 filters
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…