Giuseppe Lauricella

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Giuseppe Lauricella (born December 15, 1867 in Agrigento , † January 9, 1913 in Catania ) was an Italian mathematician who dealt with analysis.

Lauricella studied in Pisa with Luigi Bianchi , Ulisse Dini and Vito Volterra , graduating in 1892. He then worked for a year as an assistant in Pisa and taught at technical institutes. In 1898 he became professor of analysis at the University of Catania after a competition . In 1910 he went to Rome, but returned to Catania after a year. He died of scarlet fever obtained while caring for his sick child.

He dealt with analysis (harmonic analysis, potential theory, integral equations and integro-differential equations) and applications in physics (elasticity theory). Today it is known for a necessary and sufficient condition for the coherence of a system of orthogonal functions (Lauricella theorem). Hypergeometric series in three variables studied by him are named after him. At about the same time, Paul Appell was also studying hypergeometric series in several variables in France.

He was a corresponding member of the Accademia dei Lincei (1907).

Web links

Individual evidence

  1. Lauricella Sulla chiusura dei sistemi di funzioni ortogonali , Rendiconti dei Lincei, Series 5, Volume 21, 1912, pp. 675-685
  2. Lauricella Sulle funzioni ipergeometriche a più variabili , Rendiconti del Circolo Matematico di Palermo, Volume 7, 1893, pp. 111–158
  3. ^ Lauricella functions, Mathworld