The double mellin-barnes type integrals and their applications to convolution theory
著者
書誌事項
The double mellin-barnes type integrals and their applications to convolution theory
（Series on Soviet and East European mathematics, v. 6）
World Scientific, c1992
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内容説明・目次
内容説明
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.
目次
- 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.
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