Hermite

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Hermite

Hypergeometric representation

Orthogonality relation(s)

Recurrence relation

Monic recurrence relation


Differential equation

Substitution(s):


Forward shift operator

Backward shift operator


Rodrigues-type formula

Generating functions








Limit relations

Meixner-Pollaczek polynomial to Hermite polynomial


Jacobi polynomial to Hermite polynomial


Gegenbauer / Ultraspherical polynomial to Hermite polynomial


Krawtchouk polynomial to Hermite polynomial


Laguerre polynomial to Hermite polynomial


Charlier polynomial to Hermite polynomial

Remarks