elliptic integral of the third kind

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.
References in periodicals archive ?
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).
Incomplete elliptic integral of the third kind [PI] is defined as
Complete elliptic integral of the third kind is defined as The complete elliptic integral of the third kind n can be defined as