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Built-in Functions / Mathematical Functions / Hypergeometric Related /

JacobiP

Usage

• JacobiP[n, a, b, x] gives the Jacobi polynomial .


Notes

• Mathematical function (see Section A.3.10).
• Explicit polynomials are given when possible.
• satisfies the differential equation .
• The Jacobi polynomials are orthogonal with weight function .
• JacobiP[n, a, b, z] has a branch cut discontinuity in the complex z plane running from to .
• See Section 3.2.10.
• See also: LegendreP, ChebyshevT, ChebyshevU, GegenbauerC.
• New in Version 1.
Further Examples


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