Lagrange Inversion of Taylor Polynomials using Kronecker Product Notation

Roberto Leon-Gonzalez and Elnura Baiaman Kyzy ()
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Elnura Baiaman Kyzy: HIAS, Hitotsubashi Unversity, Tokyo, Japan

No 25-08, GRIPS Discussion Papers from National Graduate Institute for Policy Studies

Abstract: This paper is concerned with the multivariate Lagrange-Good inversion of power series when they are written using Kronecker products and inverted with respect to a subset of the variables. It is shown that the coefficients of the inverse series can be recovered by solving a linear system of equations whose solution can be found recursively.

Keywords: Reversion of Series; Higher Order Inverse Derivatives; Perturbation Methods; Multinomial Coefficient (search for similar items in EconPapers)
Pages: 14 pages
Date: 2025-07
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Persistent link: https://EconPapers.repec.org/RePEc:ngi:dpaper:25-08

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