q-Krawtchouk

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q-Krawtchouk

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

q-Racah polynomial to q-Krawtchouk polynomial


q-Hahn polynomial to q-Krawtchouk polynomial


q-Krawtchouk polynomial to q-Bessel polynomial


q-Krawtchouk polynomial to q-Charlier polynomial


q-Krawtchouk polynomial to Krawtchouk polynomial

Remark

Substitution(s): &


Substitution(s): &