- Lazarus Fuchs
Infobox Scientist
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name = Lazarus Fuchs
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caption = Immanuel Lazarus Fuchs (1833–1902)
birth_date =5 May 1833
birth_place =Mosina ,Grand Duchy of Poznań
death_date =26 April 1902
death_place =Berlin ,Germany
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workplaces =University of Greifswald University of Berlin University of Göttingen
alma_mater =University of Berlin
doctoral_advisor =Karl Weierstraß
academic_advisors =
doctoral_students =Gerhard Hessenberg Edmund Landau Issai Schur Theodor Vahlen Ernst Zermelo
notable_students =
known_for =Fuchsian group sPicard-Fuchs equation Fuchs's theorem
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influences =Ernst Kummer
influenced =Jules Henri Poincaré Marie Ennemond Camille Jordan Felix Christian Klein
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footnotes =Immanuel Lazarus Fuchs (
5 May 1833 –26 April 1902 ) was a Germanmathematician . He was born inMosina (located inGrand Duchy of Poznań ) and died inBerlin ,Germany .He is the eponym of
Fuchsian group s and functions, and thePicard-Fuchs equation ; "Fuchsian"differential equation s are those withregular singularities . Fuchs is also known forFuchs's theorem which states that if "x"0 is aregular 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 e0,
for some "σ" to be determined. In some cases, there will be two linearly independent solutions of that form.
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