Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy+5 more
wiley +1 more source
New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points [PDF]
2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.We consider some familiar subclasses of functions starlike with respect to symmetric points and obtain sufficient conditions for these classes in terms of their Taylor coefficient ...
Aghalary, R., Ebadian, A.
core
Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-
Ali, Rosihan M.+2 more
core +1 more source
Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]
MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
core
An Application of the Briot-Bouquet Integral Operator for Differential Superordinations
The notion of differential superordination wasintroduced as a dual concept of diffrential subordination bythe S. S. Miller and P. T. Mocanu. Using properties of theBriot-Bouquet linear operator, we obtain differentialsubordinations and superordinatios ...
Anamaria G. Macovei
doaj
Two hyperbolic Schwarz lemmas [PDF]
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings on the unit disk with fixed multiplicity for the zero at the origin, hence extending a recent result due to Beardon.
Bernal González, Luis+1 more
core
Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan+2 more
core +1 more source
Fekete-Szegö and Hankel inequalities related to the sine function
The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are ...
Muhammad Ashfaq+3 more
doaj +1 more source
Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk [PDF]
In this paper, we will give Schwarz-Pick type estimates of arbitrary order partial derivatives for bounded pluriharmonic mappings defined in the unit polydisk.
Chen, Shaolin, Rasila, Antti
core
A study of analytic functions along with Poisson distribution
In this paper, we introduce some new families of analytic functions by using Hadamard product while keeping conic like domains in view. Like the area theorem, we determine sufficient conditions as well as characterizations of these functions. Furthermore,
Muhammad Ashfaq+3 more
doaj +1 more source