Cartesian Coordinates

Sin   ▪ Cos   ▪ Exp

Polar Coordinates

BesselJ   ▪ BesselY   ▪ HankelH2

Elliptical Coordinates

MathieuS   ▪ MathieuC

Spherical Coordinates

SphericalHarmonicY   ▪ LegendreP   ▪ SphericalBesselJ   ▪ SphericalBesselY   ▪ SphericalHankelH2   ▪ LaguerreL

Ultraspherical Coordinates

GegenbauerC   ▪ Hypergeometric2F1

Toroidal Coordinates

LegendreQ   ▪ LegendreP

Spheroidal Coordinates

SpheroidalPS   ▪ SpheroidalS1

Related Tech Notes

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• Special Functions

Related Guides

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• Vector Analysis
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• Special Functions
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• Functions Used in Optics
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• Functions Used in Quantum Mechanics
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• Spheroidal & Related Functions

Related Links

• Demonstrations related to Functions for Separable Coordinate Systems (Wolfram Demonstrations Project)