Mainly based upon unpublished material, in this paper we examine the scientific influence that Felice Casorati exerted on Salvatore Pincherle. This influence can be retraced in Casorati work on finite-difference calculus, conceived and published between 1879 and 1880, when Pincherle was in Pavia. This work has an interesting {\it backstage} related to Casorati participation in the 1880 {\it Grand Prix} of the French {\it Acad\'emie des Sciences} that helps to understand Casorati personality. Moreover, the correspondence that Casorati exchanged with other mathematicians on his work reveals that some of the results contained in [Casorati, 1880b] had been obtained---though in a narrower context--in a juvenile paper by Christoffel. Finally, the letters between Casorati and Pincherle contain a short unpublished note by Pincherle on a paper by Jules Tannery [Tannery, 1875] that is the first evidence of the influence of [Casorati, 1880b] on Pincherle's work on finite-difference calculus.
Felice Casorati's work on finite diffrerences and its influence on Salvatore Pincherle
ROSSO, RICCARDO
2015-01-01
Abstract
Mainly based upon unpublished material, in this paper we examine the scientific influence that Felice Casorati exerted on Salvatore Pincherle. This influence can be retraced in Casorati work on finite-difference calculus, conceived and published between 1879 and 1880, when Pincherle was in Pavia. This work has an interesting {\it backstage} related to Casorati participation in the 1880 {\it Grand Prix} of the French {\it Acad\'emie des Sciences} that helps to understand Casorati personality. Moreover, the correspondence that Casorati exchanged with other mathematicians on his work reveals that some of the results contained in [Casorati, 1880b] had been obtained---though in a narrower context--in a juvenile paper by Christoffel. Finally, the letters between Casorati and Pincherle contain a short unpublished note by Pincherle on a paper by Jules Tannery [Tannery, 1875] that is the first evidence of the influence of [Casorati, 1880b] on Pincherle's work on finite-difference calculus.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.