In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2...

Lamé function Mathieu function Mittag-Leffler function Painlevé transcendents Parabolic cylinder function Arithmetic–geometric mean Ackermann function: in...

mathematical physics. He has given his name to the Mathieu functions, Mathieu groups and Mathieu transformation. He authored a treatise of mathematical...

referee Mathieu Schneider (born 1969), American hockey defenseman Mathieu Valbuena (born 1984), French footballer Matthieu Matthew (name) Mathieu function, special...

Müller-Kirsten. The large order behavior of asymptotic expansions of Mathieu functions and their eigenvalues (also called characteristic numbers) has been...

pendulum Kapitza's pendulum Rayleigh–Lorentz pendulum Elastic pendulum Mathieu function Pendulum equations (software) defined by Christiaan Huygens: Huygens...

equations, nowadays termed Mathieu equations, in his “Memoir on vibrations of an elliptic membrane” in 1868. "Mathieu functions are applicable to a wide...

periodic potential like the Kronig–Penney potential or a cosine function as in the Mathieu equation. When nearing the edges of the lattice, there are problems...

Macdonald spherical function Mahler polynomial Maitland function Émile Léonard Mathieu: Mathieu function F. G. Mehler, student of Dirichlet (Ferdinand): Mehler's...

linearly independent Mathieu cosines and Mathieu sines, which are even and odd solutions respectively. In general, the Mathieu functions are aperiodic; however...

Ramanujan's mock theta functions. It is a generalization of the Mathieu moonshine phenomenon connecting representations of the Mathieu group M24 with K3 surfaces...

a cosine potential (cf. Mathieu function) or other periodic potentials (cf. e.g. Lamé function and spheroidal wave function) and irrespective of whether...

corresponding calculations for Mathieu functions, and oblate spheroidal wave functions and prolate spheroidal wave functions). With the following boundary...

philosophy. Among others, Whittaker coined the terms cardinal function and Mathieu function. The School of Mathematics of the University of Edinburgh holds...

distribution Andrew White Young 1891–1968 mathematician researched temperature seiches in Loch Earn and presented on Mathieu function and Lagrange polynomials...

in abstract algebra, the Mathieu groups are the five sporadic simple groups M11, M12, M22, M23 and M24 introduced by Mathieu (1861, 1873). They are multiply...

its President from 1936 to 1941. He was an expert on the Lame function, Mathieu function and proved Klein's theorem. He was born on 14 March 1867, the...

Editions, ISBN 0-486-49565-5. N.W. McLachlan, Theory and Application of Mathieu Functions, New York: Dover, 1964. Teschl, Gerald (2012). Ordinary Differential...

ISBN 978-1-4615-2638-4. McLachlan, Norman William (1964). Theory and Application of Mathieu Functions, By N.W. Mclachlan. New York, New York: Dover. Marcuvitz, Nathan (1951)...

over 30 articles on functional approximation, numerical analysis and Mathieu functions. Between 1940 and 1942, while at the Mathematical Tables Project,...

Reference to the Biological Sciences., McGraw Hill, 1960, page 288. Rouaud, Mathieu (2013). Probability, Statistics and Estimation (PDF). p. 60. Chiang, C...

research on Temperature Seiches in Loch Earn and presented papers on Mathieu function and Lagrange polynomials. He was elected a Fellow of Royal Society...

Georges Mathieu (27 January 1921 – 10 June 2012) was a French abstract painter, art theorist, and member of the Académie des Beaux-Arts in Paris. He is...

In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which...

of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple...

{bc}}-(b+c)/2}}\right]} Moreover, Mathieu functions are special-case solutions of the Baer equation, since the latter reduces to the Mathieu differential equation...

Weierstrass Elliptic and Related Functions Parabolic Cylinder Functions Mathieu Functions Spheroidal Wave Functions Orthogonal Polynomials Bernoulli and...

ISSN 1076-5174. S2CID 16506573. N. W. McLachlan, Theory and Applications of Mathieu Functions (Oxford University Press, Oxford, 1947), p. 20 H.J.W. Müller-Kirsten...

name, this function is not periodic, and it cannot be written in terms of sinusoidal or even hypergeometric functions. (See Mathieu function for more about...

Eric W. "Hill's Differential Equation". MathWorld. Wolf, G. (2010), "Mathieu Functions and Hill's Equation", in Olver, Frank W. J.; Lozier, Daniel M.; Boisvert...