Big q-Jacobi: Special case

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Big q-Jacobi: Special case

Big q-Legendre

Basic hypergeometric representation

Orthogonality relation(s)

Constraint(s):


Recurrence relation

Substitution(s): &


Monic recurrence relation

Substitution(s): &


q-Difference equation

Substitution(s): &

&


Rodrigues-type formula


Generating functions


Limit relations

Big q-Legendre polynomial to Legendre / Spherical polynomial