Johan Jensen (mathematician)

Johan Ludwig William Valdemar Jensen ( born May 8, 1859 in Nakskov, † March 5, 1925 in Copenhagen) was a Danish mathematician.

Jensen grew up partly in northern Sweden, where his father was steward, and went to school in Copenhagen. There he studied from 1876 Natural Sciences and Mathematics at the Polytechnic. While still a student he published his first work on mathematics. He then worked as an engineer at the Bell Telephone Company and later the Copenhagen telephone company, research in his spare time but more on mathematics and published mathematical work. In 1890 he became head of the technical department of the Copenhagen Telephone Company, for which he worked until his retirement in 1924. His training in higher mathematics was largely carried out in self study, he never earned a doctorate and no higher degrees in mathematics.

Johan Ludwig Jensen's best-known mathematical result is certainly named after him Jensen's inequality for convex functions.

Also named after him is the Jensen's formula that makes for a meromorphic function a relationship between the integral of a circle and the zeros and poles of inside the circle. This formula is of fundamental importance in the reasoned from Nevanlinna value distribution theory. She was part of Jensen's attempt to prove the Riemann Hypothesis. Further work related to the gamma function, and infinite series.

1892 to 1903 he was president of the Danish Mathematical Society.

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