منابع مشابه
q-EULER AND GENOCCHI NUMBERS
Carlitz has introduced an interesting q-analogue of Frobenius-Euler numbers in [4]. He has indicated a corresponding Stadudt-Clausen theorem and also some interesting congruence properties of the q-Euler numbers. In this paper we give another construction of q-Euler numbers, which are different than his q-Euler numbers. By using our q-Euler numbers, we define the q-analogue of Genocchi numbers ...
متن کاملq-Extensions for the Apostol-Genocchi Polynomials
In this paper, we define the Apostol-Genocchi polynomials and qApostol-Genocchi polynomials. We give the generating function and some basic properties of q-Apostol-Genocchi polynomials. Several interesting relationships are also obtained. 2000 Mathematics Subject Classification: Primary 05A30; Secondary 11B83, 11M35, 33E20.
متن کاملNOTE ON THE GENERALIZATION OF THE HIGHER ORDER q-GENOCCHI NUMBERS AND q-EULER NUMBERS
Cangul-Ozden-Simsek[1] constructed the q-Genocchi numbers of high order using a fermionic p-adic integral on Zp, and gave Witt’s formula and the interpolation functions of these numbers. In this paper, we present the generalization of the higher order q-Euler numbers and q-Genocchi numbers of Cangul-Ozden-Simsek. We define q-extensions of w-Euler numbers and polynomials, and w-Genocchi numbers ...
متن کاملA q-analog of the Seidel generation of Genocchi numbers
A new q-analog of Genocchi numbers is introduced through a q-analog of Seidel’s triangle associated to Genocchi numbers. It is then shown that these q-Genocchi numbers have interesting combinatorial interpretations in the classical models for Genocchi numbers such as alternating pistols, alternating permutations, non intersecting lattice paths and skew Young tableaux.
متن کاملON THE MULTIPLE q-GENOCCHI AND EULER NUMBERS
Let p be a fixed odd prime. Throughout this paper Zp, Qp, C, and Cp will, respectively, denote the ring of p-adic rational integers, the field of p-adic rational numbers, the complex number field, and the completion of algebraic closure of Qp. Let vp be the normalized exponential valuation of Cp with |p|p = p −vp(p) = p and let q be regarded as either a complex number q ∈ C or a p-adic number q...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2006
ISSN: 0304-9914
DOI: 10.4134/jkms.2006.43.1.183