Results 41 to 50 of about 974 (118)

Coefficient Estimates for Certain Classes of Bi-Univalent Functions

International Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +1 more source

Several Subordination Features Using Bessel-Type Operator

Mathematics
For the function solution to the well-known homogeneous Bessel differential equation, we utilized a normalized form of this function to define a certain operator on a subclass of analytic functions.
Rabab Alyusof, Rabha M. El-Ashwah, Alaa H. El-Qadeem   +2 more
doaj   +1 more source

Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions

Axioms
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh, Gangadharan Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Mohamed A. Mamon, Alaa H. El-Qadeem   +5 more
doaj   +1 more source

Faber Polynomial Coefficient Estimates of m-Fold Symmetric Bi-Univalent Functions with Bounded Boundary Rotation

Mathematics
In the current article, we introduce several new subclasses of m-fold symmetric analytic and bi-univalent functions associated with bounded boundary and bounded radius rotation within the open unit disk D.
Anandan Murugan, Srikandan Sivasubramanian, Prathviraj Sharma, Gangadharan Murugusundaramoorthy   +3 more
doaj   +1 more source

Subclasses of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1983
Let 𝒦[C,D], −1 ...
E. M. Silvia
doaj   +1 more source

Univalent Double Categories

Proceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs
Category theory is a branch of mathematics that provides a formal framework for understanding the relationship between mathematical structures. To this end, a category not only incorporates the data of the desired objects, but also "morphisms", which capture how different objects interact with each other.
Niels van der Weide, Nima Rasekh, Benedikt Ahrens, Paige Randall North   +3 more
openaire   +6 more sources

One Criterion for Univalency [PDF]

Proceedings of the American Mathematical Society, 1989
In this note we give one criterion for the functions f ( z )
Nunokawa, Mamoru, Obradović, Milutin, Owa, Shigeyoshi   +2 more
openaire   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source