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Leopold Bernhard Gegenbauer (2 February 1849, Asperhofen – 3 June 1903, Gießhübl) was an Austrian mathematician remembered best as an algebraist. Gegenbauer polynomials are named after him. Leopold Gegenbauer was the son of a doctor. He studied at the University of Vienna from 1869 until 1873. He then went to Berlin where he studied from 1873 to 1875 working under Weierstrass and Kronecker. Gegenbauer also gave his name to arithmetic functions studied in analytic number theory. The Gegenbauer functions Ρ and ρ (upper case and lower case rho) are defined as follows.

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  • Leopold Gegenbauer (ca)
  • Leopold Gegenbauer (de)
  • Leopold Gegenbauer (fr)
  • Leopold Gegenbauer (en)
  • Leopold Gegenbauer (it)
  • Гегенбауэр, Леопольд (ru)
  • Леопольд Ґеґенбауер (uk)
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  • Leopold Bernhard Gegenbauer (1849-1903) va ser un matemàtic austríac, conegut pels seus treballs en àlgebra. (ca)
  • Leopold Bernhard Gegenbauer (* 2. Februar 1849 in Asperhofen, Niederösterreich; † 3. Juni 1903 in Gießhübl, Niederösterreich) war ein österreichischer Mathematiker. (de)
  • Leopold Bernhard Gegenbauer (né le 2 février 1849 à Asperhofen et mort le 3 juin 1903 à Gießhübl) est un mathématicien autrichien, connu pour ses travaux en algèbre. (fr)
  • Leopold Bernhard Gegenbauer (Asperhofen, 2 febbraio 1849 – Gießhübl, 3 giugno 1903) è stato un matematico austriaco,conosciuto principalmente per i suoi lavori in algebra. I polinomi di Gegenbauer prendono nome da lui. Insegnò presso l'Università di Czernowitz. (it)
  • Леопольд Бернхард Ґеґенбауер (нім. Leopold Bernhard Gegenbauer, нар. 2 лютого 1849, , Австрійська імперія — † 3 червня 1903, , Австро-Угорщина) — австрійський математик, відомий своїми працями з алгебри, теорії чисел, інтегрального числення та теорії функцій. На його честь названі поліноми Ґеґенбауера, що узагальнюють поліноми Лежандра і Чебишева. (uk)
  • Леопольд Бернхард Гегенбауэр (нем. Leopold Bernhard Gegenbauer, 2 февраля 1849, Асперхофен, Австрийская империя — 3 июня 1903, Гисхюбль, Австро-Венгрия) — австрийский математик, известный своими работами по алгебре, теории чисел, интегральному исчислению и теории функций. В его честь названы многочлены Гегенбауэра, обобщающие многочлены Лежандра и Чебышёва. (ru)
  • Leopold Bernhard Gegenbauer (2 February 1849, Asperhofen – 3 June 1903, Gießhübl) was an Austrian mathematician remembered best as an algebraist. Gegenbauer polynomials are named after him. Leopold Gegenbauer was the son of a doctor. He studied at the University of Vienna from 1869 until 1873. He then went to Berlin where he studied from 1873 to 1875 working under Weierstrass and Kronecker. Gegenbauer also gave his name to arithmetic functions studied in analytic number theory. The Gegenbauer functions Ρ and ρ (upper case and lower case rho) are defined as follows. (en)
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  • Leopold Bernhard Gegenbauer (1849-1903) va ser un matemàtic austríac, conegut pels seus treballs en àlgebra. (ca)
  • Leopold Bernhard Gegenbauer (* 2. Februar 1849 in Asperhofen, Niederösterreich; † 3. Juni 1903 in Gießhübl, Niederösterreich) war ein österreichischer Mathematiker. (de)
  • Leopold Bernhard Gegenbauer (2 February 1849, Asperhofen – 3 June 1903, Gießhübl) was an Austrian mathematician remembered best as an algebraist. Gegenbauer polynomials are named after him. Leopold Gegenbauer was the son of a doctor. He studied at the University of Vienna from 1869 until 1873. He then went to Berlin where he studied from 1873 to 1875 working under Weierstrass and Kronecker. After graduating from Berlin, Gegenbauer was appointed to the position of extraordinary professor at the University of Czernowitz in 1875. Czernowitz, on the upper Prut River in the Carpathian foothills, was at that time in the Austrian Empire but after World War I it was in Romania, then after 1944 it became Chernivtsi, Ukraine. Czernowitz University was founded in 1875 and Gegenbauer was the first professor of mathematics there. He remained in Czernowitz for three years before moving to the University of Innsbruck where he worked with Otto Stolz. Again he held the position of extraordinary professor in Innsbruck. After three years teaching in Innsbruck Gegenbauer was appointed full professor in 1881, then he was appointed full professor at the University of Vienna in 1893. During the session 1897–98 he was Dean of the university. He remained at Vienna until his death. Among the students who studied with him at Vienna were the Slovenian Josip Plemelj, the American James Pierpont, Ernst Fischer, and Lothar von Rechtenstamm. Gegenbauer had many mathematical interests such as number theory, complex analysis, and the theory of integration, but he was chiefly an algebraist. He is remembered for the Gegenbauer polynomials, a class of orthogonal polynomials. They are obtained from the hypergeometric series in certain cases where the series is in fact finite. The Gegenbauer polynomials are solutions to the Gegenbauer differential equation and are generalizations of the associated Legendre polynomials. Gegenbauer also gave his name to arithmetic functions studied in analytic number theory. The Gegenbauer functions Ρ and ρ (upper case and lower case rho) are defined as follows. In 1973 in Vienna in the district of Floridsdorf (21. Bezirk) a street was named in his honor the Gegenbauerweg. (en)
  • Leopold Bernhard Gegenbauer (né le 2 février 1849 à Asperhofen et mort le 3 juin 1903 à Gießhübl) est un mathématicien autrichien, connu pour ses travaux en algèbre. (fr)
  • Leopold Bernhard Gegenbauer (Asperhofen, 2 febbraio 1849 – Gießhübl, 3 giugno 1903) è stato un matematico austriaco,conosciuto principalmente per i suoi lavori in algebra. I polinomi di Gegenbauer prendono nome da lui. Insegnò presso l'Università di Czernowitz. (it)
  • Леопольд Бернхард Ґеґенбауер (нім. Leopold Bernhard Gegenbauer, нар. 2 лютого 1849, , Австрійська імперія — † 3 червня 1903, , Австро-Угорщина) — австрійський математик, відомий своїми працями з алгебри, теорії чисел, інтегрального числення та теорії функцій. На його честь названі поліноми Ґеґенбауера, що узагальнюють поліноми Лежандра і Чебишева. (uk)
  • Леопольд Бернхард Гегенбауэр (нем. Leopold Bernhard Gegenbauer, 2 февраля 1849, Асперхофен, Австрийская империя — 3 июня 1903, Гисхюбль, Австро-Венгрия) — австрийский математик, известный своими работами по алгебре, теории чисел, интегральному исчислению и теории функций. В его честь названы многочлены Гегенбауэра, обобщающие многочлены Лежандра и Чебышёва. (ru)
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