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Chromosome stability of synthetic Triticum turgidum-Aegilops umbellulata hybrids. [PDF]
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On the zeros of univalent functions with univalent derivatives [PDF]
A family, E, consisting of normalised univalent functions with univalent derivatives is studied with regard to the zeros of these functions.
Selden Y. Trimble, Swarupchand M. Shah
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Complex Variables, Theory and Application: An International Journal, 1992
In this paper the class P n of the polynomials which are univalent in the unit disk as well as classes of nonunivalent polynomials containing P n are investigated. For |ζ|=1 a retraction R ζ from P n+1 to the subclass of P n characterized by is constructed.
K. Habetha, M. Brandt
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In this paper the class P n of the polynomials which are univalent in the unit disk as well as classes of nonunivalent polynomials containing P n are investigated. For |ζ|=1 a retraction R ζ from P n+1 to the subclass of P n characterized by is constructed.
K. Habetha, M. Brandt
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On some radii of univalence and related univalence criteria
Complex Variables, Theory and Application: An International Journal, 1984Let 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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Complex Variables, Theory and Application: An International Journal, 1988
(1988). A univalency criterion. Complex Variables, Theory and Application: An International Journal: Vol. 10, No. 4, pp. 327-331.
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(1988). A univalency criterion. Complex Variables, Theory and Application: An International Journal: Vol. 10, No. 4, pp. 327-331.
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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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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 the univalence of derivatives of functions which are univalent in angular domains
Mathematical Notes, 2007We consider functions f that are univalent in a plane angular domain of angle απ, 0 < α ≤ 2. It is proved that there exists a natural number k depending only on α such that the kth derivatives f (k) of these functions cannot be univalent in this angle. We find the least of the possible values of for k.
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1993
We are now ready to classify the univalent self-maps of U that induce compact composition operators on H 2. A fragment of operator theoretic folk-wisdom will help us guess the answer: If a “big-oh” condition describes a class of bounded operators, then the corresponding “little-oh” condition picks out the subclass of compact operators. (Problem 1 of
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We are now ready to classify the univalent self-maps of U that induce compact composition operators on H 2. A fragment of operator theoretic folk-wisdom will help us guess the answer: If a “big-oh” condition describes a class of bounded operators, then the corresponding “little-oh” condition picks out the subclass of compact operators. (Problem 1 of
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