Little q-Laguerre / Wall

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Little q-Laguerre / Wall

Basic hypergeometric representation


Orthogonality relation(s)

Constraint(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 function

Limit relations

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


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


Affine q-Krawtchouk polynomial to Little q-Laguerre / Wall polynomial


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


Remark

Koornwinder Addendum: Little q-Laguerre / Wall

Re: (14.20.11)



Expansion of x^n


Quadratic transformations