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Simple proof of the functional relation for the Lerch type Tornheim double zeta function
Functional relation Lerch type Tornheim double zeta function
2011/1/18
In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation formulas for double ...
A Non Local Quantitative Characterization of ellipses Leading to a Solvable Differential Relation
Convex sets asymptotic expansion ordinary differential equations
2010/1/25
In this paper we prove that there are no domains , other than the ellipses, such that the Lebesgue measure of the intersection of and its homothetic image translated to a boundary point is inde...
A Relation to Hilbert's Integral Inequality and Some Base Hilbert-type Inequalities
Base Hilbert-type integral inequality Parameter Weight function
2010/1/25
In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert's in...