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    Recursion relation of the Hermite polynomial

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    Show that for a Hermite polynomial H(n) of order n, we have:

    H(n+1)-xH(n)+nH(n-1)=0

    © BrainMass Inc. brainmass.com March 4, 2021, 6:03 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/recursion-relation-hermite-polynomial-26093

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    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in ...

    Solution Summary

    Starting from the generating function, the solution shows in a step by step manner how to obtain the required recurssion relation.

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