NEW APPROACH TO q-EULER, GENOCCHI NUMBERS AND THEIR INTERPOLATION FUNCTIONS
نویسنده
چکیده
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 can investigate the interesting relationship between q-w-Euler numbers and q-w-Genocchi numbers. Finally, we give the interpolation functions of these numbers. §
منابع مشابه
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Recently, many mathematicians have studied various kinds of the q-analogue of Genocchi numbers and polynomials. In the work New approach to q-Euler, Genocchi numbers and their interpolation functions, “Advanced Studies in Contemporary Mathematics, vol. 18, no. 2, pp. 105– 112, 2009.”, Kim defined new generating functions of q-Genocchi, q-Euler polynomials, and their interpolation functions. In ...
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