Logarithmic form of Lagrange inversion formula
A.S. Dzhumadil'daev
TL;DR
This paper presents a novel logarithmic formulation for the composition inverse of formal power series, offering a new perspective on Lagrange inversion.
Contribution
It introduces a logarithmic representation of the inverse of formal power series, enhancing understanding and computation of Lagrange inversion.
Findings
Provides a new logarithmic expression for Lagrange inversion
Simplifies the computation of inverse series
Offers insights into the structure of formal power series inverses
Abstract
We give presentation of composition inverse of formal power serie in a logarithmic form.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications