A spheroidal harmonic is a special case of an ellipsoidal harmonic that satisfies the differential equation
![d/(dx)[(1-x^2)(dS)/(dx)]+(lambda-c^2x^2-(m^2)/(1-x^2))S=0](/images/equations/SpheroidalHarmonic/NumberedEquation1.svg) |
on the interval 
.
Spheroidal Harmonic
See also
Ellipsoidal Harmonic of the First Kind, Ellipsoidal Harmonic of the Second Kind, Spheroidal Wave FunctionExplore with Wolfram|Alpha
References
Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. "A Worked Example: Spheroidal Harmonics." §17.4 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 764-773, 1992.Referenced on Wolfram|Alpha
Spheroidal HarmonicCite this as:
Weisstein, Eric W. "Spheroidal Harmonic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpheroidalHarmonic.html