Abelian Function

An Inverse Function of an Abelian Integral. Abelian functions have two variables and four periods. Theyare a generalization of Elliptic Functions, and are also called HyperellipticFunctions.

References

Abelian Functions

Baker, H. F. Abelian Functions: Abel's Theorem and the Allied Theory, Including the Theory of the Theta Functions. New York: Cambridge University Press, 1995.

Baker, H. F. An Introduction to the Theory of Multiply Periodic Functions. London: Cambridge University Press, 1907.

• Helmholtz Differential Equation--Bipolar Coordinates
• Helmholtz Differential Equation--Cartesian Coordinates
• Helmholtz Differential Equation--Circular Cylindrical Coordinates
• Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
• Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
• Helmholtz Differential Equation--Conical Coordinates
• Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
• Helmholtz Differential Equation--Oblate Spheroidal Coordinates
• Helmholtz Differential Equation--Parabolic Coordinates
• Helmholtz Differential Equation--Parabolic Cylindrical Coordinates
• Helmholtz Differential Equation Polar Coordinates
• Helmholtz Differential Equation--Prolate Spheroidal Coordinates
• Helmholtz Differential Equation--Spherical Coordinates
• Helmholtz Differential Equation--Spherical Surface
• Helmholtz Differential Equation--Toroidal Coordinates
• Helmholtz's Theorem
• Helson-Szegö Measure
• Hemicylindrical Function
• Hemisphere
• Hemispherical Function
• Hempel's Paradox
• Hendecagon
• Henneberg's Minimal Surface
• Hensel's Lemma
• Henstock-Kurzweil Integral