Items related to DOUBLE MELLIN-BARNES TYPE INTEGRALS AND THEIR APPLICATION...

DOUBLE MELLIN-BARNES TYPE INTEGRALS AND THEIR APPLICATION TO CONVOLUTION THEORY, THE: 6 (SERIES ON SOVIET AND EAST EUROPEAN MATHEMATICS) - Hardcover

Yakubovich, Semyon B; Nguyen, Thanh Hai

 
9789810206901: DOUBLE MELLIN-BARNES TYPE INTEGRALS AND THEIR APPLICATION TO CONVOLUTION THEORY, THE: 6 (SERIES ON SOVIET AND EAST EUROPEAN MATHEMATICS)

Synopsis

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.

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Review

"The book gives a detailed and rigorous account of the theory of double Mellin-Barnes type integrals and contains new fundamental results and their applications to convolution theory. It is a valuable addition to the existing literature in the field of special functions and integral transforms." K M Saksena "In the areas of special functions and integral transforms, teachers, researchers and graduate students are advised to refer to this work." Siam Review, 1993

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