In this paper, we give some further properties of p-adic q-L-function of two variables, which is recently constructed by Kim 2005 and Cenkci 2006. One of the applications of these proper-ties yields general classes of congruences for generalized q-Bernoulli polynomials, which are q-extensions of the classes for generalized Bernoulli numbers and polynomials given by Fox 2000, Gunaratne 1995, and Young 1999, 2001
AbstractThe p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-a...
Mahmudov (2012, 2013) introduced and investigated some q-extensions of the q-Bernoulli polynomials ℬ...
Abstract In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, ...
In this paper, we give some further properties of p-adic q-L-function of two variables, which is rec...
AbstractIn [T. Kim, S.H. Rim, Generalized Carlitz’s q-Bernoulli numbers in the p-adic number field, ...
We define universal arbitrary order Bernoulli polynomials which generalize the classical ones. We d...
In this manuscript, generating functions are constructed for the new special families of polynomials...
The study of class number invariants of absolute abelian fields, the investigation of congruences fo...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
The q-Bernoulli numbers and polynomials can be given by Witt’s type formulas as p-adic invariant int...
A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α ...
AbstractIn this paper we establish some explicit congruences for Bernoulli polynomials modulo a gene...
Motivated and inspired by [11] and [9], the authors introduce a class of multiple q-Bernoulli polyno...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
summary:We use the properties of $p$-adic integrals and measures to obtain general congruences for G...
AbstractThe p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-a...
Mahmudov (2012, 2013) introduced and investigated some q-extensions of the q-Bernoulli polynomials ℬ...
Abstract In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, ...
In this paper, we give some further properties of p-adic q-L-function of two variables, which is rec...
AbstractIn [T. Kim, S.H. Rim, Generalized Carlitz’s q-Bernoulli numbers in the p-adic number field, ...
We define universal arbitrary order Bernoulli polynomials which generalize the classical ones. We d...
In this manuscript, generating functions are constructed for the new special families of polynomials...
The study of class number invariants of absolute abelian fields, the investigation of congruences fo...
AbstractWe use properties of p-adic integrals and measures to obtain congruences for higher-order Be...
The q-Bernoulli numbers and polynomials can be given by Witt’s type formulas as p-adic invariant int...
A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α ...
AbstractIn this paper we establish some explicit congruences for Bernoulli polynomials modulo a gene...
Motivated and inspired by [11] and [9], the authors introduce a class of multiple q-Bernoulli polyno...
AbstractLet {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(...
summary:We use the properties of $p$-adic integrals and measures to obtain general congruences for G...
AbstractThe p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-a...
Mahmudov (2012, 2013) introduced and investigated some q-extensions of the q-Bernoulli polynomials ℬ...
Abstract In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, ...