Discrete q-Hermite I

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Discrete q-Hermite I

Basic hypergeometric representation



Orthogonality relation(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 function

Limit relations

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


Discrete q-Hermite I polynomial to Hermite polynomial

Remark