Results 61 to 70 of about 13,123 (205)

On Linear Combinations of Harmonic Mappings Convex in the Horizontal Direction

Universal Journal of Mathematics and Applications
The process of creating univalent harmonic mappings which are not analytic is not simple or straightforward. One efficient method for constructing desired univalent harmonic maps is by taking the linear combination of two suitable harmonic maps. In this
Elif Yaşar
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Subclasses of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1983
Let 𝒦[C,D], −1 ...
E. M. Silvia
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An extremal problem for univalent functions [PDF]

Let S be the class of functions f(z)=z+a2z2 ,… f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x . This problem was first proposed by Petru T.
Miodrag IOVANOV
core  

Univalent functions with logarithmic restrictions [PDF]

, 1991
It is known that univalence property of regular functions is better understood in terms of some restrictions of logarithmic type. Such restrictions are connected with natural stratifications of the studied classes of univalent functions.
Grinshpan, A.
core  

Linear Combinations of Harmonic Univalent Mappings [PDF]

, 2021
Many properties are known about analytic functions, however the class of harmonic functions which are the sum of an analytic function and the conjugate of an analytic function is less understood.
Nguyen, Dennis
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Univalent categories of modules

Mathematical Structures in Computer Science, 2023
AbstractWe show that categories of modules over a ring in homotopy type theory (HoTT) satisfy the internal versions of the AB axioms from homological algebra. The main subtlety lies in proving AB4, which is that coproducts indexed by arbitrary sets are left-exact.
openaire   +4 more sources

Estimates for the Initial Coefficients of Bi-univalent Functions

, 2016
[[abstract]]A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P.
Virendra Kumar, V. Ravichandran, S. Sivaprasad Kumar   +2 more
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AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS [PDF]

Analele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie, 2010
Let S be the class of functions f(z)=z+a2z 2 …, f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x .
Miodrag IOVANOV
doaj  

A class of bounded starlike functions

International Journal of Mathematics and Mathematical Sciences, 1994
We consider functions f(z)=z+… that are analytic in the unit disk and satisfy there the inequality Re(f′(z)+zf″(z))>α ...
Herb Silverman
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Univalence for convolutions

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
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