Résumé : Pierre-Simon Laplace (1749-1827) is widely recognized for his monumental works, Théorie analytique des probabilités and Mécanique céleste. Augustin-Louis Cauchy (1789-1857), on the other hand, revolutionized classical operational analysis by formalizing it with a rigorous foundation, laying the groundwork for modern calculus and complex analysis. However, their contributions to the Stirling partition numbers remain largely overlooked in the combinatorial literature, a gap this talk aims to address. By examining their lesser-known work on Stirling partition numbers through a historical lens and integrating modern methodological perspectives, the presentation highlights the intersection of their insights with the combinatorial framework of Stirling numbers, offering new appreciation for their contributions to this area of mathematics. This research is based on ongoing joint work with Chong-Yi Li and Vytas Zacharovas.

Dernière modification : Friday 10 January 2025

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