Joseph Ludwig Raabe

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Joseph Ludwig Raabe.

Joseph Ludwig Raabe (15 May 1801 in Brody, Galicia – 22 January 1859 in Zürich, Switzerland) was a Swiss mathematician.

Life

As his parents were quite poor, Raabe was forced to earn his living from a very early age by giving private lessons. He began to study mathematics in 1820 at the Polytechnicum in Vienna, Austria. In autumn 1831, he moved to Zürich, where he became professor of mathematics in 1833. In 1855, he became professor at the newly founded Swiss Polytechnicum.

He is best known for Raabe's ratio test, an extension of d'Alembert's ratio test, which serves to determine the convergence or divergence of an infinite series. He is also known for the Raabe integral of the gamma function

$\int \limits _{a}^{{a+1}}\log \Gamma (t)\,{\mathrm d}t={\tfrac 12}\log 2\pi +a\log a-a,\quad a\geq 0.$

Publications

Differential- und Integralrechnung (3 volumes) (Zürich, 1839-1847)
Mathematische Mitteilungen (2 volumes) (1857-1858)

External links

O'Connor, John J.; Robertson, Edmund F., "Joseph Ludwig Raabe", MacTutor History of Mathematics archive, University of St Andrews .

Authority control	WorldCat VIAF: 20033353 LCCN: n87148355 ISNI: 0000 0000 3053 4813 GND: 100814719 HDS: 31631

Persondata
Name	Raabe, Joseph Ludwig
Alternative names
Short description	Swiss mathematician
Date of birth	15 May 1801
Place of birth
Date of death	22 January 1859
Place of death

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