173 citations · 421 across the 22 of their papers we have counts for
5 papers · 2 filters
On the alternating sums of powers of consecutive q-integers
Taekyun Kim
In this paper we construct -Genocchi numbers and polynomials. By using these numbers and polynomials, we investigate the -analogue of alternating sums of powers of consecutiv…
A note on the alternating sums of powers of consecutive integers
T. Kim
Following an idea due to Euler, we evaluate the alternating sums of powers of consrcutive integers.
A note on q-Volkenborn integration
T. Kim
In this paper, we construct the new -analogue of the ordinary Euler numbers and polynomials by using the -Volkenborn integrals.
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…
-Bernoulli Numbers and Polynomials Associated with Multiple -Zeta Functions and Basic -series
T. Kim, Y. Simsek, H. M. Srivastav
By using -Volkenborn integration and uniform differentiable on , we construct -adic -zeta functions. These functions interpolate the -Bernoulli numbers…