JacobiP

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

DetailsDetails

  • 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 .
Introduced in 1988
(1.0)