Askey-Wilson

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Askey-Wilson

Basic hypergeometric representation

Substitution(s):


Orthogonality relation(s)

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Recurrence relation

Substitution(s): &


Monic recurrence relation

Substitution(s): &


q-Difference equation

Substitution(s): &

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Forward shift operator


Backward shift operator

Substitution(s): &

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Rodrigues-type formula

Substitution(s): &

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Generating functions

Substitution(s):


Substitution(s):


Substitution(s):


Limit relations

Askey-Wilson polynomial to Continuous dual q-Hahn polynomial


Askey-Wilson polynomial to Continuous q-Hahn polynomial


Askey-Wilson polynomial to Big q-Jacobi polynomial