Toroidal Function

A class of functions also called Ring Functions which appear in systems having toroidal symmetry. Toroidal functions can be expressed in terms of the Legendre Functions andSecond Kinds (Abramowitz and Stegun 1972, p. 336):

References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Toroidal Functions (or Ring Functions).'' §8.11 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 336, 1972.

Byerly, W. E. An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York: Dover, p. 266, 1959.

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1468, 1980.

• Logarithmic Integral
• Logarithmic Number
• Logarithmic Spiral
• Logarithmic Spiral Caustic Curve
• Logarithmic Spiral Evolute
• Logarithmic Spiral Inverse Curve
• Logarithmic Spiral Pedal Curve
• Logarithmic Spiral Radial Curve
• Logic
• Logical Paradox
• Logistic Distribution
• Logistic Equation
• Logistic Equation r=4
• Logistic Growth Curve
• Logistic Map
• Logit Transformation
• Log Likelihood Procedure
• Log Normal Distribution
• Logos
• Log-Series Distribution
• Log-Weibull Distribution
• Lommel Differential Equation
• Lommel Function
• Lommel Polynomial
• Lommel's Integrals