caa a22 4500 606224122 CHVBK 20210128101141.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00407-014-0143-7 doi (NATIONALLICENCE)springer-10.1007/s00407-014-0143-7 Rosso Riccardo Dipartimento di Matematica "F. Casorati”, Università degli Studi di Pavia, via Ferrata, 5, 27100, Pavia, Italy aut Felice Casorati's work on finite differences and its influence on Salvatore Pincherle [Elektronische Daten] [Riccardo Rosso] This paper, which is mainly based on unpublished material, focuses on the scientific influence that Felice Casorati exerted on Salvatore Pincherle. This influence can be traced, in particular, in Casorati's work on the finite-difference calculus as conceived and published between 1879 and 1880 when Pincherle was living in Pavia. Casorati's work has an interesting back story related to his entry to the 1880 Grand Prix of the French Académie des Sciences that helps us in understanding Casorati's personality. Moreover, the correspondence that Casorati exchanged with other mathematicians on his work reveals that some of the results contained in Casorati (Annali di Matematica pura ed applicata 10(S. II):10-45, 1880b) had been obtained—though in a narrower context—in an early paper by Christoffel. Finally, the letters between Casorati and Pincherle contain a short unpublished note by Pincherle on a paper by Jules Tannery (Ann Sci. l'École Norm Super 4(S. II):113-182, 1875). This note offers the first evidence of the influence of Casorati (Annali di Matematica pura ed applicata 10(S. II):10-45, 1880b) on Pincherle's work on the finite-difference calculus. Springer-Verlag Berlin Heidelberg, 2014 Archive for History of Exact Sciences Springer Berlin Heidelberg 69/2(2015-03-01), 153-215 0003-9519 69:2<153 2015 69 407 https://doi.org/10.1007/s00407-014-0143-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00407-014-0143-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rosso Riccardo Dipartimento di Matematica "F. Casorati”, Università degli Studi di Pavia, via Ferrata, 5, 27100, Pavia, Italy aut NATIONALLICENCE 773 0- Archive for History of Exact Sciences Springer Berlin Heidelberg 69/2(2015-03-01), 153-215 0003-9519 69:2<153 2015 69 407