On Meijer transform
Agarwal, R.D. (1969)
Portugaliae mathematica
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Agarwal, R.D. (1969)
Portugaliae mathematica
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Valery I. Fabrikant (1986)
Aplikace matematiky
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A new and elegant procedure is proposed for the solution of mixed potential problems in a half-space with a circular line of division of boundary conditions. The approach is based on a new type of integral operators with special properties. Two general external problems are solved; i) An arbitrary potential is specified at the boundary outside a circle, and its normal derivative is zero inside; ii) An arbitrary normal derivative is given outside the circle, and be potential is zero inside....
Betancor, J.J. (1988)
Portugaliae mathematica
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Samko, Stefan (2011)
Fractional Calculus and Applied Analysis
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MSC 2010: 45DB05, 45E05, 78A45 We show that a certain axisymmetric hypersingular integral equation arising in problems of cracks in the elasticity theory may be explicitly solved in the case where the crack occupies a plane circle. We give three different forms of the resolving formula. Two of them involve regular kernels, while the third one involves a singular kernel, but requires less regularity assumptions on the the right-hand side of the equation.
Miroslav Sova (1979)
Časopis pro pěstování matematiky
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