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
大学図書館所蔵 全16件
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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