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q-EXTENSIONS OF GENOCCHI NUMBERS
CENKCI MEHMET,CAN MUMUN,KURT VELI Korean Mathematical Society 2006 대한수학회지 Vol.43 No.1
In this paper q-extensions of Genocchi numbers are defined and several properties of these numbers are presented. Properties of q-Genocchi numbers and polynomials are used to construct q-extensions of p-adic measures which yield to obtain p-adic interpolation functions for q-Genocchi numbers. As an application, general systems of congruences, including Kummer-type congruences for q-Genocchi numbers are proved.
$q$-Extensions of Genocchi Numbers
Mehmet Cenkci,M\,Veli Kurt 대한수학회 2006 대한수학회지 Vol.43 No.1
In this paper $q$-extensions of Genocchi numbers are defined and several properties of these numbers are presented. Properties of $q$-Genocchi numbers and polynomials are used to construct $q$-extensions of $p$-adic measures which yield to obtain $p$-adic interpolation functions for $q$-Genocchi numbers. As an application, general systems of congruences, including Kummer-type congruences for $q$-Genocchi numbers are proved.
A RECURRENCE RELATION FOR BERNOULLI NUMBERS
CAN MUMUN,CENKCI MEHMET,KURT VELI Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results, is given.
A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS
Veli Kurt,Mehmet Cenkci 대한수학회 2010 대한수학회보 Vol.47 No.3
In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.
A NEW APPROACH TO q-GENOCCHI NUMBERS AND POLYNOMIALS
Kurt, Veli,Cenkci, Mehmet Korean Mathematical Society 2010 대한수학회보 Vol.47 No.3
In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.