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Love's Equation

The Fredholm integral equation of the second kind

f(x)=1+1/piint_(-1)^1(f(t))/((x-t)^2+1)dt

that arises in electrostatics (Love 1949, Fox and Goodwin 1953, and Abbott 2002).

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References

Abbott, P. (Ed.). "Tricks of the Trade." Mathematica J. 8, 516-522, 2002.Fox, L. and Goodwin, E. T. "The Numerical Solution of Non-Singular Linear Integral Equations." Philos. Trans. Roy. Soc. London Ser. A 245, 501-534, 1953.Love, E. R. "The Electrostatic Field of Two Equal Circular Conducting Disks." Quart. J. Mech. Appl. Math. 2, 428-451, 1949.

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Love's Equation

Cite this as:

Weisstein, Eric W. "Love's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LovesEquation.html

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