Paul Antoine Aristide Montel

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Born: 29 April 1876 in Nice, France
Died: 22 Jan 1975 in Paris, France

 

Paul Montel was educated at the Lycée in Nice. In 1894 he entered École Normale Supérieure in Paris.

Montel then taught at several lycées but was persuaded by friends to return to Paris and work on a doctorate. This he did and obtained his doctorate in 1907. He was appointed to his first university post in Paris in 1918 at the age of 42.

He worked mostly on the theory of analytic functions of a complex variable. He introduced a set of functions called a normal family and used these ideas to simplify classical results in function theory such as the mapping theorem of Riemann and Hadamard's characterisation of entire functions of finite order.

Montel also investigated the relation between the coefficients of a polynomial and the location of its zeros in the complex plane.