Third Kind

In the theory of special functions, a class of functions is said to be "of the third kind" if it is similar to but distinct from previously defined functions already defined to be of the first and second kinds. The only common functions of the third kind are the elliptic integral of the third kind Pi(n;phi,k) and the Bessel function of the third kind (more commonly called the Hankel function).

See also

Elliptic Integral of the Third Kind, First Kind, Hankel Function, Second Kind, Special Function

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Cite this as:

Weisstein, Eric W. "Third Kind." From MathWorld--A Wolfram Web Resource.

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