Quantum q-Krawtchouk

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Quantum q-Krawtchouk

Basic hypergeometric representation

Constraint(s):


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-Hahn polynomial to Quantum q-Krawtchouk polynomial


Quantum q-Krawtchouk polynomial to Al-Salam-Carlitz II polynomial


Quantum q-Krawtchouk polynomial to Krawtchouk polynomial

Remarks


Koornwinder Addendum: Quantum q-Krawtchouk