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On the zeros of univalent functions with univalent derivatives

Annali Di Matematica Pura Ed Applicata, 1979
A family, E, consisting of normalised univalent functions with univalent derivatives is studied with regard to the zeros of these functions.
Shah, Swarupchand M., Trimble, Selden Y.
exaly   +2 more sources

Observability in the Univalent Universe

Mediterranean Journal of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernando Tohmé   +2 more
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Nonconvexities in Univalence

Mathematics of Operations Research, 1983
When a mapping is univalent (one-to-one) on a set is a question which has received considerable study. Much of the recent research has focused on the shape of the set on which the mapping is defined. It has been suggested, in fact, that the set must be convex for univalence to hold. This paper presents conditions under which the set need not be convex.
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On Convex Univalent Functions

Canadian Journal of Mathematics, 1970
In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
Başgöze, T.   +2 more
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ON UNIVALENT BLOCH FUNCTIONS

Acta Mathematica Scientia, 2001
Let \(\Delta=\{z:| z|
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Inner Models of Univalence

Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, 2018
We present a simple inner model construction for dependent type theory, which preserves univalence.
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On some radii of univalence and related univalence criteria

Complex Variables, Theory and Application: An International Journal, 1984
Let D be the unit disk in . It is shown that if is any simply connected domain containing a sufficiently large disk, then the radius of univalence of the family {f: log f'(D) ⊂ R} is the same as that of {f: log f' maps D 1 – 1 onto R }. it is also shown that for M sufficiently large the radius of univalence of {f: |f“(z)/f'(z)|≤ M in D} is π/M.
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A univalence criterion and the structure of some subclasses of univalent functions

1987
A sufficient condition for univalence of Ahlfors-Becker-Lewandowski type is obtained. Theorem. Let f be holomorphic in \(| z|
Miazga, Józef   +1 more
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