Concept information
Preferred term
Mathieu function
Definition(s)
- In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation y″ + (a - 2qcos(2x))y = 0 where a and q are parameters. They were first introduced by Émile Léonard Mathieu, who encountered them while studying vibrating elliptical drumheads. They have applications in many fields of the physical sciences, such as optics, quantum mechanics, and general relativity. They tend to occur in problems involving periodic motion, or in the analysis of partial differential equation boundary value problems possessing elliptic symmetry. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Mathieu_function)
Broader concept(s)
Synonym(s)
- Mathieu equation
In other languages
-
French
-
équation de Mathieu
URI
http://data.loterre.fr/ark:/67375/MDL-LJT7RX21-8
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