Special Functions

A variety of special functions is encountered in the solution of physical problems, particularly in the solution of differential equations.

Function
Applications
Hermite polynomialsQuantum harmonic oscillator
Legendre polynomialsHydrogen Schrodinger equation
Associated Legendre functionsHydrogen Schrodinger equation
Spherical harmonicsSpherical potential well
Bessel functionsMembrane vibration
Spherical Bessel functionsSpherical potential well
 Index
 
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