Mathieu function
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation where and 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.
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Mathieu function
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation where and 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.
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Als Mathieusche Differentialgl ...... Mathieu-Funktionen bezeichnet.
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En physique mathématique, on a ...... es ont réactualisé ces études.
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Funkcje Mathieu – funkcje spec ...... przypadkach mogą je odtwarzać.
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In matematica, le funzioni di ...... gate alle funzioni di Mathieu.
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In mathematics, Mathieu functi ...... possessing elliptic symmetry.
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Mathieuovy funkce jsou speciál ...... ale jen tzv. vlastní hodnoty.
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Рівняння Матьє — звичайне дифе ...... скретних значеннях параметрів.
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Функции Матьё — математические ...... спериментальной физики и т. д.
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数学の分野におけるマシュー函数（マシューかんすう、英: Ma ...... d Mathieu の第一問題として提唱されたものであった。
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马丟函数（法語：Équation de Mathieu）是1 ...... 数解 MathieuSE(n, q, x).或记为称为基本解
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G.
@en
id
p/m062760
@en
last
Wolf
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title
Mathieu Functions and Hill’s Equation
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Mathieu function
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Mathieu functions
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urlname
MathieuFunction
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Als Mathieusche Differentialgl ...... Mathieu-Funktionen bezeichnet.
@de
En physique mathématique, on a ...... lées les fonctions de Mathieu.
@fr
Funkcje Mathieu – funkcje spec ...... przypadkach mogą je odtwarzać.
@pl
In matematica, le funzioni di ...... tudio delle membrane vibranti.
@it
In mathematics, Mathieu functi ...... possessing elliptic symmetry.
@en
Mathieuovy funkce jsou speciál ...... ale jen tzv. vlastní hodnoty.
@cs
Рівняння Матьє — звичайне дифе ...... скретних значеннях параметрів.
@uk
Функции Матьё — математические ...... спериментальной физики и т. д.
@ru
数学の分野におけるマシュー函数（マシューかんすう、英: Ma ...... d Mathieu の第一問題として提唱されたものであった。
@ja
马丟函数（法語：Équation de Mathieu）是1 ...... 数解 MathieuSE(n, q, x).或记为称为基本解
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label
Funkcje Mathieu
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Funzioni di Mathieu
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Mathieu function
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Mathieuova funkce
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Mathieusche Differentialgleichung
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Équation de Mathieu
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Рівняння Матьє
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Функции Матьё
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マシュー函数
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马丢函数
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