Mathieu Differential Equation
It arises in separation of variables of Laplace's Equation in Elliptic Cylindrical Coordinates. Whittakerand Watson (1990) use a slightly different form to define the Mathieu Functions.
The modified Mathieu differential equation
arises in Separation of Variables of the Helmholtz Differential Equation in Elliptic Cylindrical Coordinates.See also Mathieu Function
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 722, 1972. Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 556-557, 1953. Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, 1990.
- Humbert's Theorem
- Hundkurve
- Hundred
- Huntington Equation
- Hunt's Surface
- Hurwitz Equation
- Hurwitz Number
- Hurwitz Polynomial
- Hurwitz-Radon Theorem
- Hurwitz's Irrational Number Theorem
- Hurwitz's Root Theorem
- Hurwitz Zeta Function
- Hutton's Formula
- Hutton's Method
- Hyperbola
- Hyperbola Evolute
- Hyperbola Inverse Curve
- Hyperbola Pedal Curve
- Hyperbolic Automorphism
- Hyperbolic Cosecant
- Hyperbolic Cosine
- Hyperbolic Cotangent
- Hyperbolic Cube
- Hyperbolic Cylinder
- Hyperbolic Dodecahedron