Explicit Construction of the Inverse of an Analytic Real Function: Some Applications
Copyright policy ) Joaquín Moreno; Miguel A. López; Raquel Martínez;
Explicit Construction of the Inverse of an Analytic Real Function: Some Applications
In this paper, we introduce a general procedure to construct the Taylor series development of the inverse of an analytical function; in other words, given y=f(x), we provide the power series that defines its inverse x=hf(y). We apply the obtained results to solve nonlinear equations in an analytic way, and generalize Catalan and Fuss–Catalan numbers.
nonlinear equations, QA1-939, Taylor series, inverse functions, Fuss–Catalan numbers, Taylor Remainder, Catalan numbers, Nonlinear equations, Inverse functions, Mathematics
nonlinear equations, QA1-939, Taylor series, inverse functions, Fuss–Catalan numbers, Taylor Remainder, Catalan numbers, Nonlinear equations, Inverse functions, Mathematics
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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