61 citations · 69 across the 7 of their papers we have counts for
6 papers · 1 filter
Probabilistic central Bell polynomials
R. Xu, Y. Ma, T. Kim +2
Let Y be a random variable whose moment generating function exists in a neighborhood of the origin. In this paper, we study the probabilistic central Bell polynomials associated wi…
A new approach to Catalan numbers using differential equations
Taekyun Kim, Dae San Kim
In this paper, we introduce two differential equations arising from the generating function of the Catalan numbers which are `inverses' to each other in some sense. From these diff…
Identities of symmetry for higher-order generalized q-Euler polyonmials
D. V. Dolgy, D. S. Kim, T. G. Kim +1
In this paper, we investigate the properties of symmetry in two variables related to multiple Euler q-l-function which interpolates higher-order q-Euler polynomials at negative int…
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…
A new Kim's type Bernoulli and Euler Numbers and related identities and zeta and L-functions
Y. Simsek, T. Kim, D. Kim
In this paper, we consstruct a new extended q-Bernoulli numbers and poly nomials. From these numbers, we derive the multiple zeta functions and give some relations between multiple…
A note on the sums of powers of consecutive q-integers
Y. Simsek, D. Kim, T. Kim +1
In this paper we construct the q-analogue of Barnes' Bernoulli numbers and plynomials of degree 2, which is an answer to a part of Schlosser's question. Finally, we treat the q-ana…