Dual Hahn

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Dual Hahn

Hypergeometric representation

Constraint(s):


Substitution(s):


Orthogonality relation(s)

Substitution(s):


Recurrence relation

Substitution(s): &

&


Substitution(s):


Monic recurrence relation

Substitution(s): &


Substitution(s):


Difference equation

Substitution(s): &

&
&


Forward shift operator

Substitution(s):


Substitution(s):


Backward shift operator

Substitution(s):


Substitution(s):


Rodrigues-type formula

Substitution(s):


Substitution(s):


Generating functions

Substitution(s):


Substitution(s):


Substitution(s):


Constraint(s): arbitrary


Substitution(s):


Limit relations

Racah polynomial to Dual Hahn polynomial

Substitution(s):


Substitution(s):


Substitution(s):


Dual Hahn polynomial to Meixner polynomial

Substitution(s):


Dual Hahn polynomial to Krawtchouk polynomial

Substitution(s):


Remark

Substitution(s):


Constraint(s):


Substitution(s):


Koornwinder Addendum: Dual Hahn