GegenbauerC
Usage
• GegenbauerC[n, m, x] gives the Gegenbauer polynomial . • GegenbauerC[n, x] gives the renormalized form .
Notes
• 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  . • New in Version 1.
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