Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series

Details Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series

2009-07-14

arxiv.org/abs/0907.2328v2

Mathematics

Combinatorics

17 pages. We extend the results in the previuous version proving finally the Lagrange Inversion Formula via Banach Fixed Point

Scientific paper

We point out how Banach Fixed Point Theorem, and the Picard successive
approximation methods induced by it, allows us to treat some mathematical
methods in Combinatorics. In particular we get, by this way, a proof and an
iterative algorithm for the Lagrange Inversion Formula.

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