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The double Mellin-Barnes type integrals and their applications to convolution theory

Author: Thanh Hai Nguyen; S B Yakubovich
Publisher: Singapore ; River Edge, N.J. : World Scientific, ©1992.
Series: Series on Soviet and East European mathematics, v. 6.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Presents new results in the theory of the double Mellin-Barnes integrals known as the general H-function of two variables. A general integral convolution is constructed and it contains Laplace  Read more...

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Document Type: Book
All Authors / Contributors: Thanh Hai Nguyen; S B Yakubovich
ISBN: 9810206909 9789810206901
OCLC Number: 26890013
Description: x, 295 pages ; 23 cm.
Contents: 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.
Series Title: Series on Soviet and East European mathematics, v. 6.
Other Titles: Mellin-Barnes type integrals
Responsibility: Nguyen Thanh Hai & S.B. Yakubovich.
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"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 Read more...

 
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