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GegenbauerC[n, m, x] gives the Gegenbauer polynomial .
GegenbauerC[n, x] gives the renormalized form .
Mathematical function (see Section A.3.10).
Explicit polynomials are given for integer n and for any m.
satisfies the differential equation .
The Gegenbauer polynomials are orthogonal on the interval with weight function , corresponding to integration over a unit hypersphere.
GegenbauerC[n, 0, x] is always zero.
GegenbauerC[n, m, z] has a branch cut discontinuity in the complex z plane running from to .
See Section 3.2.9.
See also: LegendreP, ChebyshevT, ChebyshevU.
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