Q-Meixner-Pollaczek

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q-Meixner-Pollaczek

Basic hypergeometric representation


Orthogonality relation(s)

Constraint(s):


Substitution(s): &

&


Recurrence relation

Monic recurrence relation


q-Difference equation

Substitution(s): &

&
&
&


Forward shift operator

Substitution(s):


Backward shift operator

Substitution(s): &

&
&


Substitution(s): &

&
&


Rodrigues-type formula

Substitution(s): &

&
&


Generating functions

Substitution(s):



Substitution(s):


Limit relations

Continuous q-Hahn polynomial to q-Meixner-Pollaczek polynomial


q-Meixner-Pollaczek polynomial to Continuous q-ultraspherical /


q-Meixner-Pollaczek polynomial to Continuous


q-Meixner-Pollaczek polynomial to Meixner-Pollaczek polynomial