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Article: Convolution integral equations involving the [bar.H]-function *.
- Article from:
- Tamsui Oxford Journal of Mathematical Sciences
- Article date:
- December 1, 2007
- Author:
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1. Introduction
Srivastava and Buschman established the following theorem giving the solution of the Convolution integral equation whose kernel is Fox H-function.
Theorem 1 (Srivastava and Buschman (5),(6)). The convolution Integral Equation
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
where f is an unknown function and g is a prescribed functions such that [g.sup.(u)](0) = 0 for 0 [less than or equal to] u [less than or equal to] l-1, Re([rho])>0, with suitable restrictions on the parameters has the solution given by
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
where