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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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