Gustav Ferdinand Mehler, or Ferdinand Gustav Mehler (13 December 1835 in
Schönlanke,
Kingdom of Prussia
The Kingdom of Prussia (, ) was a German state that existed from 1701 to 1918.Marriott, J. A. R., and Charles Grant Robertson. ''The Evolution of Prussia, the Making of an Empire''. Rev. ed. Oxford: Clarendon Press, 1946. It played a signif ...
– 13 July 1895 in
Elbing,
German Empire
The German Empire (),; ; World Book, Inc. ''The World Book dictionary, Volume 1''. World Book, Inc., 2003. p. 572. States that Deutsches Reich translates as "German Realm" and was a former official name of Germany. also referred to as Imperia ...
) was a German mathematician.
He is credited with introducing
Mehler's formula; the
Mehler–Fock transform; the
Mehler–Heine formula; and
Mehler functions (
conical functions), in connection with his utilization of
Zonal spherical function In mathematics, a zonal spherical function or often just spherical function is a function on a locally compact group ''G'' with compact subgroup ''K'' (often a maximal compact subgroup) that arises as the matrix coefficient of a ''K''-invariant vect ...
s in Electromagnetic theory.
References
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19th-century German mathematicians
Mathematicians from the Kingdom of Prussia
1835 births
1895 deaths
{{Germany-mathematician-stub