Q-Charlier

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q-Charlier

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

q-Meixner polynomial to q-Charlier polynomial


q-Krawtchouk polynomial to q-Charlier polynomial


q-Charlier polynomial to Stieltjes-Wigert polynomial


q-Charlier polynomial to Charlier polynomial

Remark