Discrete q-Hermite II

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Discrete q-Hermite II

Basic hypergeometric representation



Orthogonality relation(s)

Constraint(s):


Substitution(s):


Recurrence relation

Monic recurrence relation


q-Difference equation

Forward shift operator


Backward shift operator


Substitution(s):


Rodrigues-type formula

Substitution(s):


Generating functions


Limit relations

Al-Salam-Carlitz II polynomial to Discrete q-Hermite II polynomial


Discrete q-Hermite II polynomial to Hermite polynomial

Remark

Koornwinder Addendum: Discrete q-Hermite II

Basic hypergeometric representation