Goodman's conjecture, in complex analysis, concerns the coefficients of multivalent functions. It was proposed in 1948 by the American mathematician Adolph Winkler Goodman.
Facts
Partially Attested
Progress Toward ResolutionIt is known that when p = 2, 3, the conjecture is true for functions of the form P composed with phi, where P is a polynomial and phi is univalent. 1 Only special cases (p = 2 and p = 3, for functions of the form a polynomial composed with a univalent function) are known; the general conjecture remains open. StatementGoodman's conjecture on the coefficients of multivalent functions was proposed in complex analysis in 1948 by Adolph Winkler Goodman. 1 Proposed Year Classification
Resolution Status Prize Status
Prize Status (category) Connections
In Branch
Source Goodman's Conjecture (Wikipedia)
Sources
1. Goodman's Conjecture (Wikipedia)
Lead section
Goodman's conjecture on the coefficients of multivalent functions was proposed in complex analysis in 1948 by Adolph Winkler Goodman, an American mathematician.
Known results section
It's known that when p = 2, 3, the conjecture is true for functions of the form P (compose) phi where P is a polynomial and phi is univalent.
In Branch: Complex Analysis, Lead sentence
ficients of multivalent functions was proposed in complex analysis in 1948 by Adolph Winkler Goodman, an American mathematician.
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