16 citations · 20 across the 6 of their papers we have counts for
6 papers
On Alzer-Kwong's Identities for Bernoulli polynomials
Min-Soo Kim, Daeyeoul Kim, Ji Suk So
In this paper, we prove new identities for Bernoulli polynomials that extend Alzer and Kwong's results. The key idea is to use the Volkenborn integral over of the Ber…
On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions
Su Hu, Daeyeoul Kim, Min-Soo Kim
The Apostol-Dedekind sum with quasi-periodic Euler functions is an analogue of Apostol's definition of the generalized Dedekind sum with periodic Bernoulli functions. In this paper…
Special values and integral representations for the Hurwitz-type Euler zeta functions
Su Hu, Daeyeoul Kim, Min-Soo Kim
The Hurwitz-type Euler zeta function is defined as a deformation of the Hurwitz zeta function: \begin{equation*} ζ_E(s,x)=\sum_{n=0}^\infty\frac{(-1)^n}{(n+x)^s}. \end{equation*} I…
Jackson's integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions
Su Hu, Daeyeoul Kim, Min-Soo Kim
Using the Jackson integral, we obtain the -integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma fu…
On the integral of the product of four and more Bernoulli polynomials
Su Hu, Daeyeoul Kim, Min-Soo Kim
In 1958, L.J. Mordell provided the formula for the integral of the product of two Bernoulli polynomials, he also remarked: "The integrals containing the product of more than two Be…
On the q-Euler numbers related to modified q-Bernstein polynomials
Min-soo Kim, Daeyeoul Kim, Taekyun Kim
In this paper we investigate some interesting formulae of q-Euler numbers and polynomials related to the modified q-Bernstein polynomials.