Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange
Classical Analysis and ODEs
2013-06-26 v1
Abstract
We give a proof and extension of two formulas of Frobenius and Stickelberger of Differential Calculus that they used in a fundamental paper concerning elliptic functions theory. Our main ingredient is the introduction of a bilinear form which is a vast generalization of Leibniz formula. This bilinear form is also connected to the Lagrange product formula. As a corollary, we give a different proof of a theorem of P.J. Olver.
Keywords
Cite
@article{arxiv.1306.5742,
title = {Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange},
author = {Roger Gay and Marcel Grangé and Ahmed Sebbar},
journal= {arXiv preprint arXiv:1306.5742},
year = {2013}
}
Comments
26 pages, in French