An explicit formula for the Euler numbers of higher order
نویسندگان
چکیده
منابع مشابه
On the Explicit Formula of Euler Numbers and Polynomials of Higher Order
In [1], the multiple Frobenius-Euler numbers and polynomials were constructed. In this paper we give some interesting formulae which are related to the multiple Frobenius-Euler polynomials. The main purpose of this paper is to give the Kummer type congruences for the multiple Frobenius-Euler numbers. §
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Explicit and recursive formulas for Bernoulli and Euler numbers are derived from the Faá di Bruno formula for the higher derivatives of a composite function. Along the way we prove a result about composite generating functions which can be systematically used to derive such identities.
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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 ...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2005
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.36.2005.103