Functions for Separable Coordinate Systems

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

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