Big q-Laguerre

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Big q-Laguerre

Basic hypergeometric representation


Orthogonality relation(s)

Recurrence relation

Substitution(s): &


Monic recurrence relation

Substitution(s): &


q-Difference equation

Substitution(s): &

&


Forward shift operator


Backward shift operator


Substitution(s):


Rodrigues-type formula

Substitution(s):


Generating functions



Limit relations

Big q-Jacobi polynomial to Big q-Laguerre polynomial


Big q-Laguerre polynomial to Little q-Laguerre / Wall polynomial


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


Big q-Laguerre polynomial to Laguerre polynomial

Remark