engleski

Hilbert inequalities related to generalized hypergeometric functions

Using the Poisson-type integral representations of generalized hypergeometric function, we derive here some new classes of multidimensional inequalities of Hilbert and Hardy- Hilbert type with some special kernels. These results generalize corresponding inequalities for Gaussian hypergeometric functions.

hypergeometric function; Poisson-type integral representations; Hilbert type inequality; Hardy-Hilbert type inequality

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