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Lazarus Immanuel Fuchs : ウィキペディア英語版
Lazarus Fuchs

Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and died in Berlin, Germany. He was buried in Schöneberg in the St. Matthew's Cemetery. His grave in section H is preserved and listed as a grave of honour of the State of Berlin.
He is the eponym of Fuchsian groups and functions, and the Picard–Fuchs equation; ''Fuchsian'' differential equations are those with regular singularities. Fuchs is also known for Fuchs's theorem which states that if ''x''0 is a regular singular point then the differential equation
: p(x)y''+q(x)y'+r(x)y=0\,
has at least one solution of the form
: y=\sum_^\infty a_n(x-x_0)^,\quad a_0\ne0\,
for some ''σ'' to be determined. In some cases, there will be two ] solutions of that form.
== Selected works ==

* ''Über Funktionen zweier Variabeln, welche durch Umkehrung der Integrale zweier gegebener Funktionen entstehen'', Göttingen 1881.
* ''Zur Theorie der linearen Differentialgleichungen'', Berlin 1901.
* ''Gesammelte Werke'', Hrsg. von Richard Fuchs und Ludwig Schlesinger. 3 Bde. Berlin 1904–1909.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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