|Died||26 April 1902 (aged 68)|
|Alma mater||University of Berlin|
|Known for||Fuchsian groups |
|Institutions||University of Greifswald|
University of Heidelberg
University of Berlin
University of Göttingen
|Doctoral advisor||Karl Weierstraß|
|Doctoral students||Gerhard Hessenberg|
|Influenced||Jules Henri Poincaré|
Felix Christian Klein
Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-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.
is called Fuchsian if p and q are meromorphic around the point a, and have poles of orders at most 1 and 2, respectively. According to a theorem of Fuchs, this condition is necessary and sufficient for the regularity of the singular point, that is, to ensure the existence of two linearly independent solutions of the form
where the exponents can be determined from the equation. In the case when is an integer this formula has to be modified.
Another well-known result of Fuchs is the Fuchs's conditions, the necessary and sufficient conditions for the non-linear differential equation of the form
to be free of movable singularities.
Lazarus Fuchs was the father of Richard Fuchs, a German mathematician.