Continuous Hahn

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Continuous Hahn

Hypergeometric representation

Orthogonality relation(s)

Recurrence relation

Substitution(s): &


Monic recurrence relation

Substitution(s): &


Difference equation

Substitution(s): &

&


Forward shift operator


Backward shift operator


Substitution(s):


Rodrigues-type formula

Substitution(s):


Generating functions



Limit relations

Wilson polynomial to Continuous Hahn polynomial


Continuous Hahn polynomial to Meixner-Pollaczek polynomial


Continuous Hahn polynomial to Jacobi polynomial


Continuous Hahn polynomial to Pseudo Jacobi polynomial

Remark

Koornwinder Addendum: Continuous Hahn

Continuous Hahn: Special cases