# univalence

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## mon·o·va·lence

, monovalency (mon'ō-vā'lens, -vā'len-sē),
A combining power (valence) equal to that of a hydrogen atom.
Synonym(s): univalence, univalency

## mon·o·va·lence

, monovalency (mon'ō-vā'lĕns, -lăn-sē)
A combining power (valence) equal to that of a hydrogen atom.
Synonym(s): univalence, univalency.

## univalence

(ū″nĭ-vā′lĕns)
The condition of having only one valence.
Mentioned in ?
References in periodicals archive ?
2] rows and columns are of the sign needed for the maximum suffices, I believe, to assure univalence of the equation set" (Ibid.
Gale, David and Hukukane Nikaido, "The Jacobian Matrix and Global Univalence of Mappings," Mathematische Annalen, 1965, 68-80, reprinted in Peter Newman, edited, Readings in Mathematical Economics, (Baltimore, MD: Johns Hopkins University Press, 1968), 81-93.
Bulut, Sufficient conditions for univalence of an integral operator defined by Al-Oboudi differential operator, J.
Pascu, On a univalence criterion (II), Itinerant seminar on functional equations, approximation and convexity, Cluj-Napoca, Preprint Nr.
There exist functions having infinitely many domains of univalence (see for example ).
MITRINOVIC: On the univalence of rational functions, Univ.
12) gives a sufficient condition for close-to-convexity and hence for univalence.
A set G [subset] [DELTA] is called the set of local univalence in the class A, if [[for all].
The problems of finding similar bounds on the Schwarzian derivatives that would imply univalence, starlikeness or convexity of functions were investigated by a number of authors including Gabriel (4), Friedland and Nehari (3), and Ozaki and Nunokawa (11).
The proof is completed by applying the radius of univalence for H and the properties of [F.
AKSENTIEV: Sufficient conditions for univalence of regular functions.
Note that the result contained in Theorem 2 can be applied to obtain sufficient conditions for univalence on the unit disc, such as starlikeness, convexity, alpha-convexity, close-to-convexity.

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