FUNZIONI ELLITTICHE PDF

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Category:Elliptic functions

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Lezioni Sulla Teoria delle funzioni di variabile complessa e delle funzioni ellittiche

In matematica , e in particolare in analisi complessa , per funzione ellittica , si intende una funzione definita sul piano complesso che risulta periodica secondo due direzioni. Le funzioni ellittiche si possono considerare come una generalizzazione delle funzioni trigonometriche in quanto funzioni periodiche con un solo periodo. Storicamente le funzioni ellittiche sono state scoperte come funzioni inverse degli integrali ellittici i quali a loro volta sono stati studiati in connessione con il problema della lunghezza dell'arco dell' ellisse da questo deriva il loro nome. La principale differenza tra queste due teorie consiste nel fatto che le funzioni di Weierstrass hanno dei poli di ordine maggiore localizzati agli angoli del reticolo periodico, mentre la funzione di Jacobi ha poli semplici. L'insieme delle funzioni ellittiche con gli stessi periodi fondamentali forma un campo. Altri progetti. Da Wikipedia, l'enciclopedia libera.

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Le Funzioni Ellittiche.

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