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arXiv · 1306.5742

Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange

Roger Gay·Marcel Grangé·Ahmed Sebbar
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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.

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Roger Gay, Marcel Grangé, Ahmed Sebbar. 2013-06-25. Sur deux formules de Frobenius et Stickelberger et inversion de Lagrange. https://arxiv.org/abs/1306.5742

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