Double Mellin-barnes Type Integrals And Their Application To Convolution Theory, The

• General H-function of two variables and the solution of its convergence problem; main properties, series presentations and characteristic of the H-function; H-function with the third characteristic and its particular cases; G-function of two variables; table of special cases of the G-function; one-dimensional H-transform in spaces -1(L) and -1c,gamma(L) and its composition structure; classical Laplace convolution and its new properties; general integral convolution for H-function transform; existence and factorization property of the convolution; new examples of convolution for classical integral transforms; generalized integral convolution; general Leibniz rules and their integral analogs.

"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