q-EULER AND GENOCCHI NUMBERS
نویسنده
چکیده
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 and investigate the relations between q-Euler numbers and q-analogs of Genocchi numbers.
منابع مشابه
NEW APPROACH TO q-EULER, GENOCCHI NUMBERS AND THEIR INTERPOLATION FUNCTIONS
In [1], Cangul-Ozden-Simsek constructed a q-Genocchi numbers of higher order and gave Witt’s formula of these numbers by using a p-adic fermionic integral on Zp. In this paper, we give another constructions of a q-Euler and Genocchi numbers of higher order, which are different than their q-Genocchi and Euler numbers of higher order. By using our q-Euler and Genocchi numbers of higher order, we ...
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