106 citations · 573 across the 226 of their papers we have counts for
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Umbral calculus associated with Bernoulli polynomials
Dae San Kim, Taekyun Kim
Recently, D. S. Kim and T. Kim have studied applications of um- bral calculus associated with p-adic invariant integrals on Zp (see [6]). In this paper, we investigate some interes…
Umbral calculus and Frobenius-Euler polynomials
Dae San Kim, Taekyun Kim
In this paper, we study some properties of umbral calculus related to Appell sequence. From those properties, we derive new and interesting identities of Frobenius-Euler polynomial…
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…
A note on Fermionic p-adic integrals on Zp and umbral calculus
Taekyun Kim, Dae San Kim, Sagtae Jeong +1
In this paper we study some properties of the fermionic p-adic integrals on Zp arising from the umbral calculus
Some identities of Frobenius-Euler polynomials arising from Frobenius-Euler basis
Dae San Kim, Taekyun Kim
In this paper, we give some new and interesting identities which are derived from the basis of Frobenius-Euler. Recently, Simsek et als(see [13]) have given some identities of q-an…
Some identities of higher-order Euler polynomials arising from Euler basis
Dae San Kim, Taekyun Kim
The purpose of this paper is to present a syatemic study of some familes of higher-order Euler numbers and polynomials. In particular, by using the basis property of higher-order E…