q-Meixner

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q-Meixner

Basic hypergeometric representation

Orthogonality relation(s)

Constraint(s): &


Recurrence relation


Monic recurrence relation


q-Difference equation

Substitution(s): &

&


Forward shift operator


Backward shift operator


Substitution(s):


Rodrigues-type formula

Substitution(s):


Generating functions


Limit relations

Big q-Jacobi polynomial to q-Meixner polynomial


q-Hahn polynomial to q-Meixner polynomial


q-Meixner polynomial to q-Laguerre polynomial


q-Meixner polynomial to q-Charlier polynomial


q-Meixner polynomial to Al-Salam-Carlitz II polynomial


q-Meixner polynomial to Meixner polynomial

Remarks