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Riemann Formula

The solution

u(x,y)=int_0^xdxiint_1^yR(xi,eta;x,y)f(xi,eta)deta,

where R(x,y;xieta) is the Riemann function of the linear Goursat problem with characteristics phi=psi=0 according to the Riemann method.

See also

Goursat Problem, Riemann Function, Riemann Method

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References

Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet "Mathematical Encyclopaedia." Dordrecht, Netherlands: Reidel, p. 289, 1988.

Referenced on Wolfram|Alpha

Riemann Formula

Cite this as:

Weisstein, Eric W. "Riemann Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RiemannFormula.html

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