engleski

Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn

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

Hilbert type ineqwuality; Hardy-parameters; beta function; gamma function; Hypergeometric function; Gaussian hypergeometric function; Poisson-type integral representation; fractional calculus

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