Mathematician:Alfredo Capelli

Mathematician
Italian mathematician best known for Capelli's Identity.

Also pioneered the notation $x^{\overline k}$ and $x^{\underline k}$ for rising factorial and falling factorial respectively.

Nationality
Italian

History

 * Born: 5 August 1855 in Milan, Lombardo-Veneto (now Italy)
 * Died: 28 January 1910 in Naples, Italy

Theorems and Definitions

 * Capelli's Identity
 * Rouché-Capelli Theorem (with ) as it is known in Italy; also known as:
 * Rouché-Fontené Theorem (after and ) as it is known in France
 * Rouché-Frobenius Theorem (after and ) (although  merely discussed the result; priority actually goes to )
 * Kronecker-Capelli Theorem (with ) as it is known in Russia


 * Capelli's Sum

Publications

 * 1876: Dimostrazione di due proprietà numeriche offerte dalla teoria delle sostituzioni permutabili con una sostituzione data
 * 1876: Intorno ai valori di una funzione lineare di pi variabili
 * 1878: Sopra l'isomorfismo dei gruppi di sostituzioni
 * 1884: Sopra la composizione dei gruppi di sostituzioni
 * 1886: Corso di analisi algebrica (with )