JacobiP

JacobiP[n,a,b,x]

gives the Jacobi polynomial .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit polynomials are given when possible.
  • satisfies the differential equation .
  • The Jacobi polynomials are orthogonal with weight function .
  • For certain special arguments, JacobiP automatically evaluates to exact values.
  • JacobiP can be evaluated to arbitrary numerical precision.
  • JacobiP automatically threads over lists.
  • JacobiP[n,a,b,z] has a branch cut discontinuity in the complex z plane running from to .

Examples

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Basic Examples  (2)

Compute the 2^(nd) Jacobi polynomial:

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Plot :

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Scope  (7)

Applications  (3)

Properties & Relations  (2)

Possible Issues  (1)

See Also

LegendreP  ZernikeR  ChebyshevT  ChebyshevU  GegenbauerC

Tutorials

Introduced in 1988
(1.0)