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

Inbunden, Engelska, 1992

Del 6 i serien Series On Soviet And East European Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1992-05-01
Mått:162 x 221 x 21 mm
Vikt:558 g
Format:Inbunden
Språk:Engelska
Serie:Series On Soviet And East European Mathematics
Antal sidor:308
Förlag:World Scientific Publishing Co Pte Ltd
ISBN:9789810206901

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"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

Innehållsförteckning

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.