Lazarus Fuchs

Who was Lazarus Fuchs?

Lazarus Immanuel Fuchs was a German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin 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 x₀ is a regular singular point then the differential equation

has at least one solution of the form

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