The Double Mellin-Barnes Type Integrals and Their Application to Convolution Theory

The Double Mellin-Barnes Type Integrals and Their Application to Convolution Theory

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This book presents new results in the theory of the double Mellin-Barnes integrals popularly known as the general H-function of two variables.A general integral convolution is constructed by the authors and it contains Laplace convolution as a particular case and possesses a factorization property for one-dimensional H-transform. Many examples of convolutions for classical integral transforms are obtained and they can be applied for the evaluation of series and integrals.