Al-Salam-Carlitz I

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Al-Salam-Carlitz I

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 function

Limit relations

Big q-Laguerre polynomial to Al-Salam-Carlitz I polynomial


Dual q-Krawtchouk polynomial to Al-Salam-Carlitz I polynomial


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


Al-Salam-Carlitz I polynomial to Charlier / Hermite polynomial


Remark