irregular singular point
In mathematics, in the theory of ordinary differential equations in the complex plane C .... We can check whether there is an irregular singular point at infinity by using the substitution w = 1 / x -displaystyle w=1/x} w=1/x and the relations:. , The singular points are x=0 and x=±1. From the definition, we see that x=0 is an irregular singular point because it is a third order pole. x=±1 ...,Solutions expanded around an irregular singular point are distinctive in one aspect: they are usually in the form of an exponential function times a Frobenius ... , There are two non-equivalent definitions of an irregular singular point. According to the first one, t0 is called an irregular singular point of ??? if ...,非正則奇異點. irregular singular point. 大陸譯名: 非正则奇点. 以irregular singular point 進行詞彙精確檢索結果. 出處/學術領域, 英文詞彙, 中文詞彙. 學術名詞 ,(x-x0)Pn-1均為解析函數則x0稱為此微分方程式的正規奇異點。 3.若x0不為此微分方程式的正常點亦非正規奇異點，則x0稱為非正規奇異點(irregular singular point)。 ,is called an ordinary point. If either P(x) or Q(x) diverges as x->x_0 , then x_0 is called a singular point. If P(x) diverges more quickly than 1/(x-x_0) , so (x-x_0)P(x) ... ,n–1 are analytic at x = x0, then x0 is a regular singular point of the ODE ⇒ use Frobenius theory. Other singular points are called irregular. Even at a singular ...
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 irregular singular point 相關參考資料
Regular singular point - Wikipedia
In mathematics, in the theory of ordinary differential equations in the complex plane C .... We can check whether there is an irregular singular point at infinity by using the substitution w = 1 / x -... https://en.wikipedia.org Regular and irregular points - Mathematics Stack Exchange
The singular points are x=0 and x=±1. From the definition, we see that x=0 is an irregular singular point because it is a third order pole. x=±1 ... https://math.stackexchange.com Lecture Eight Irregular Singular Points of Ordinary Differential ...
Solutions expanded around an irregular singular point are distinctive in one aspect: they are usually in the form of an exponential function times a Frobenius ... https://ocw.mit.edu Irregular singular point - Encyclopedia of Mathematics
There are two non-equivalent definitions of an irregular singular point. According to the first one, t0 is called an irregular singular point of ??? if ... https://www.encyclopediaofmath irregular singular point - 非正則奇異點 - 國家教育研究院雙語詞彙
非正則奇異點. irregular singular point. 大陸譯名: 非正则奇点. 以irregular singular point 進行詞彙精確檢索結果. 出處/學術領域, 英文詞彙, 中文詞彙. 學術名詞 http://terms.naer.edu.tw regular singular point - 正規奇異點 - 國家教育研究院雙語詞彙
(x-x0)Pn-1均為解析函數則x0稱為此微分方程式的正規奇異點。 3.若x0不為此微分方程式的正常點亦非正規奇異點，則x0稱為非正規奇異點(irregular singular point)。 http://terms.naer.edu.tw Irregular Singularity -- from Wolfram MathWorld
is called an ordinary point. If either P(x) or Q(x) diverges as x->x_0 , then x_0 is called a singular point. If P(x) diverges more quickly than 1/(x-x_0) , so (x-x_0)P(x) ... http://mathworld.wolfram.com 15. Regular and irregular singular points
n–1 are analytic at x = x0, then x0 is a regular singular point of the ODE ⇒ use Frobenius theory. Other singular points are called irregular. Even at a singular ... https://atmos.washington.edu |