106 citations · 573 across the 226 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…
Identities of some special mixed-type polynomials
Dae San Kim, Taekyun Kim, Hyucj In Kwon
In this paper, we consider various speical mixed-type polynomials which are related to Bernoulli, Euler, Changhee and Daehee polynomials. From those polynomials, we derive some int…
A note on q-analogue of Boole polynomials
Dae San Kim, Taekyun Kim, Jong Jin Seo
In this paper, we consider the q-extensions of Boole polynomials. From those polynomials, we derive some new and interesting properties and identities related to special polynomial…
Identities of symmetry for expansion of q-Euler polynomials
Dae San Kim, Tae Gyun Kim
In this paper, we investigate some symmetric properties of the multivariate p-adic fermionic integrals on Zp and derive various identities concerning the expansions of q-Euler poly…
Identities of symmetry for higher-order q-Bernoulli polynomials
Dae San Kim, Taekyun Kim
Recently, the higher-order Carlitz's q-Bernoulli polynomials are represented as q-Volkenborn integral on Zp by Kim. A question was asked in [13] as to finding the extended formulae…
Identities of symmetry for higher-order q-Euler polynomials
Dae San Kim, Taekyun Kim
In this paper, we derive basic identities of symmetry in two variables related to higher-order q-Euler polynomials and q-analogue of higher order alternating power sums. The deriva…