Jacobi

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Jacobi

Hypergeometric representation

Orthogonality relation(s)


Recurrence relation

Monic recurrence relation

Constraint(s):


Differential equation

Substitution(s):


Forward shift operator

Backward shift operator


Rodrigues-type formula

Generating functions

Substitution(s):





Substitution(s):


Limit relations

Wilson polynomial to Jacobi polynomial


Continuous Hahn polynomial to Jacobi polynomial


Hahn polynomial to Jacobi polynomial


Jacobi polynomial to Laguerre polynomial


Jacobi polynomial to Bessel polynomial


Jacobi polynomial to Hermite polynomial

Remarks