论文标题
Felice Casorati关于有限差异及其对Salvatore Pincherle的影响的工作
Felice Casorati's work on finite differences and its influence on Salvatore Pincherle
论文作者
论文摘要
本文主要基于未发表的材料，重点是Felice Casorati对Salvatore Pincherle的科学影响。在Casorati在1879年至1880年之间，Pincherle居住在帕维亚（Pavia）时，这种影响可以追溯到Casorati在有限差分计算的工作中。 Casorati的作品有一个有趣的{\ it Back Story}，与他进入法语的1880 {\ it Grand Prix}有关法语{\ itAcadémieDesSciences}的作品，这有助于我们理解Casorati的个性。此外，Casorati与其他数学家在工作中交流的信件表明，在Christoffel的一份早期论文中，已经获得了[Casorati，1880b]中包含的一些结果。最后，Casorati和Pincherle之间的字母包含Pincherle在Jules Tannery的纸上的简短注释[Tannery，1875年]。本说明提供了[Casorati，1880b]对Pincherle对有限差分计算的作品的影响的第一个证据。
This paper, which is mainly based on unpublished material, focuses on the scientific influence that Felice Casorati exerted on Salvatore Pincherle.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 {\it back story} related to his entry to the 1880 {\it Grand Prix} of the French {\it 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, 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 Finally, the letters between Casorati and Pincherle contain a short unpublished note by Pincherle on a paper by Jules Tannery [Tannery, 1875]. This note offers the first evidence of the influence of [Casorati, 1880b] on Pincherle's work on the finite-difference calculus.
