Dual q-Krawtchouk

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Dual q-Krawtchouk

Basic hypergeometric representation

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Orthogonality relation(s)

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Recurrence relation

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Monic recurrence relation


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q-Difference equation

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Forward shift operator

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Backward shift operator

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Rodrigues-type formula

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Generating function

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Limit relations

q-Racah polynomial to Dual q-Krawtchouk polynomial

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Dual q-Hahn polynomial to Dual q-Krawtchouk polynomial

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Dual q-Krawtchouk polynomial to Al-Salam-Carlitz I polynomial

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Dual q-Krawtchouk polynomial to Krawtchouk polynomial

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Remark

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Koornwinder Addendum: Dual q-Krawtchouk

Symmetry