| Lazarus Fuchs | |
| Birth Date: | 1833 5, df=y |
| Birth Place: | Moschin, Prussia |
| Death Place: | Berlin, German Empire |
| Nationality: | German |
| Workplaces: | 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 Hermann Schapira Ludwig Schlesinger Issai Schur Theodor Vahlen Ernst Zermelo| notable_students = | known_for = Fuchs relation Fuchs' theorem Fuchsian groups Fuchsian model Fuchsian theory Picard–Fuchs equation| author_abbrev_bot = | author_abbrev_zoo = | awards = | religion = | signature = | footnotes = |
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.[1] 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.
y''+p(x)y'+q(x)y=0
yj=\sum
| infty | |
| n=0 |
aj,n
| n+\sigmaj | |
| (x-x | |
| 0) |
, a0\ne0 j=1,2.
\sigmaj
\sigma1-\sigma2
Another well-known result of Fuchs is the Fuchs's conditions, the necessary and sufficient conditionsfor the non-linear differential equation of the form
| F\left( | dy |
| dz |
,y,z\right)=0
An interesting remark about him as a teacher during the period of his work at the Heidelberg University pertains to his manner of lecturing: his knowledge of the mathematics he was assigned to teach was so deep that he would not prepare before giving a lecture — he would simply improvise on the spot, while exposing the students to the train of thought taken by mathematicians of the finest degree.
Lazarus Fuchs was the father of Richard Fuchs, a German mathematician.