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The Hermite Differential Equation
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Time and Frequency Domains - Magazines
www.magazines007.comOther orthonormal functions are Hermite Polynomials, Legendre Polynomials, Laguerre Polynomials, and Bessel Functions. ... The solution to this type of differential equation is a sine wave. In these cir-cuits, the naturally occurring waveforms will be combinations of the waveforms
Hermite and Laguerre Polynomials
williamsgj.people.cofc.edu(13.5) becomes Hermite’s ODE and H n(x) are the Hermite polynomials. The solutions ψ n (Fig. 13.1) of Eq. (13.4) are proportional to the Hermite polynomials1H n(x). This is the differential equations approach, a standard quantum mechani-cal treatment. However, we shall prove these statements next employing the method of ladder operators.