Q-Hahn

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q-Hahn

Basic hypergeometric representation

Constraint(s):


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

q-Racah polynomial to q-Hahn polynomial

Substitution(s): &


Substitution(s): &


Substitution(s): &


q-Hahn polynomial to Little q-Jacobi polynomial


q-Hahn polynomial to q-Meixner polynomial


q-Hahn polynomial to Quantum q-Krawtchouk polynomial


q-Hahn polynomial to q-Krawtchouk polynomial


q-Hahn polynomial to Affine q-Krawtchouk polynomial


q-Hahn polynomial to Hahn polynomial

Remark

Substitution(s): &


Substitution(s): &