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elliptic integral of the third kind

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elliptic integral of the third kind [ə¦lip·tik ¦int·ə·grəl əvthə ¦thərd ‚kīnd]
(mathematics)
Any elliptic integral which has logarithmic singularities when considered as a function of one of its limits of integration.


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Algorithms for Complete Elliptic Integrals of the Third Kind Complications formerly encountered in numerical computation of Legendre's complete elliptic integral of the third kind were avoided by defining and tabulating Heuman's Lambda function (for circular cases) and a modification of Jacobi's Zeta function (for hyperbolic cases).
 
 
 
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