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Lazarus Fuchs

 
Wikipedia: Lazarus Fuchs
Lazarus Fuchs

Immanuel Lazarus Fuchs (1833–1902)
Born May 5, 1833(1833-05-05)
Mosina, Grand Duchy of Poznań
Died April 26, 1902 (aged 68)
Berlin, Germany
Residence Germany
Nationality German
Institutions University of Greifswald
University of Heidelberg
University of Berlin
University of Göttingen
Alma mater University of Berlin
Doctoral advisor Karl Weierstraß
Doctoral students Gerhard Hessenberg
Edmund Landau
Issai Schur
Theodor Vahlen
Ernst Zermelo
Known for Fuchsian groups
Picard-Fuchs equation
Fuchs's theorem
Influences Ernst Kummer
Influenced Jules Henri Poincaré
Marie Ennemond Camille Jordan
Felix Christian Klein

Immanuel Lazarus Fuchs (5 May 183326 April 1902) was a German mathematician. He was born in Mosina (located in Grand Duchy of Poznań) and died in Berlin, Germany.

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 x0 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_{n=0}^\infty a_n(x-x_0)^{n+\sigma},\quad a_0\ne0\,

for some σ to be determined. In some cases, there will be two linearly independent solutions of that form.

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