Results 11 to 20 of about 1,299 (211)

A Study on Becker's Univalence Criteria [PDF]

Abstract and Applied Analysis, 2011
We study univalence properties for certain subclasses of univalent functions K, K2, K3, and S(p), respectively. These subclasses are associated with a generalized integral operator.
Maslina Darus, Imran Faisal
doaj   +2 more sources

Univalence Criteria for Two Integral Operators [PDF]

Abstract and Applied Analysis, 2012
We study the univalence conditions for two integral operators to be univalent in the open unit disk. Many known univalence conditions are written to prove our main results.
Laura Filofteia Stanciu, Daniel Breaz
doaj   +2 more sources

Univalence for convolutions [PDF]

International Journal of Mathematics and Mathematical Sciences, 1996
The radius of univalence is found for the convolution f∗g of functions f∈S (normalized univalent functions) and g∈C (close-to-convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S.
Herb Silverman
doaj   +2 more sources

A Connection between Basic Univalence Criteria [PDF]

Abstract and Applied Analysis, 2013
We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and ...
Horiana Tudor
doaj   +2 more sources

Aspects of univalence in holographic axion models [PDF]

Journal of High Energy Physics, 2022
Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions combined with ...
Matteo Baggioli, Sebastian Grieninger, Sašo Grozdanov, Zhenkang Lu   +3 more
doaj   +2 more sources

On the Theorem of Univalence on the Boundary

Axioms
We give several generalizations of a known theorem from complex analysis, namely the univalence on the boundary theorem. Starting from a purely topological result (Theorems 1 and 11), we obtain univalence conditions for Sobolev mappings.
Mihai Cristea
doaj   +2 more sources

Univalence of certain integral operators [PDF]

International Journal of Mathematics and Mathematical Sciences, 2000
We study some integral operators and determine conditions for the univalence of these integral operators.
Virgil Pescar, Shigeyoshi Owa
doaj   +2 more sources

Properties of Univalence for a New General Integral Operator Defined as a Joint Extension of Two Known Integral Operators

Journal of Function Spaces, 2023
In this paper, we consider a new general integral operator, defined as a joint extension of two already known integral operators, and prove some univalence properties for this operator. Some other well-known operators are mentioned as particular cases of
Nicoleta Breaz
doaj   +2 more sources

Sufficient Conditions for Univalence of an Integral Operator

Journal of Inequalities and Applications, 2008
In this paper we have introduced an integral general operator. For this general operator which is a generalization of more known integral operators we have demonstrated some univalence properties.
Gheorghe Oros, Daniel Breaz
exaly   +4 more sources

Univalency of Certain Transform of Univalent Functions

Proceedings of the Bulgarian Academy of Sciences, 2023
We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
openaire   +3 more sources