The Hermite polynomials Hn(x) are polynomial solutions to
Chapter 8, Problem 37E(choose chapter or problem)
The Hermite polynomials are polynomial \(H_{n}(\chi)\) solutions to Hermite’s equation
\(Y^{\prime \prime}-2 x y^{\prime}+2 n y=0\)
The Hermite polynomials are generated by
\(e^{2 t x-t 2}=\sum_{n=0}^{\infty} \frac{H_{n}(x)}{n !} t^{n}\)
Equation Transcription:
Text Transcription:
H_n(\chi)
Y''-2xy'+2ny=0
e^2 t x-t 2=\sum_n=0^\infty \fracH_n(x)n ! t^n
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