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Results tagged with analytic-functions
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user 25510
2
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Univalent functions with non-negative coefficients
Is anything non-trivial known about univalent functions with non-negative coefficients?
Let $U$ be the unit disc, and $f$ a univalent (=injective) holomorphic function, $f(0)=0$,
$f'(0)>0$. There …
- 91.8k
8
votes
1
answer
377
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Uniqueness theorem for conformal mapping
Let $f$ and $g$ be analytic functions in the unit disk $D$, continuous in the closed disk and locally univalent, $f'(z)\neq 0,\; g'(z)\neq 0,\; z\in D$.
Assume that each has only finitely many singula …
- 91.8k