Results 11 to 20 of about 383 (40)

On a local version of Jack’s lemma

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
The purpose of this paper is to provide a result which concerns with the boundary behavior of analytic functions. It may be a local version of the well known Jack’s lemma when we change the function normalization at the origin.
Nunokawa Mamoru, Sokół Janusz
doaj   +1 more source

The Relationships Between p−valent Functions and Univalent Functions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, we obtain some sufficient conditions for general p−valent integral operators to be the p−th power of a univalent functions in the open unit disk.
Çağlar Murat
doaj   +1 more source

Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane

open access: yes, 2011
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

Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

open access: yes, 2015
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

Schwarz-Pick type estimates of pluriharmonic mappings in the unit polydisk [PDF]

open access: yes, 2014
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  

Quasisymmetric distortion spectrum

open access: yes, 2009
We give improved bounds for the distortion of the Hausdorff dimension under quasisymmetric maps in terms of the dilatation of their quasiconformal extension.
Prause, István, Smirnov, Stanislav
core   +2 more sources

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q‐Calculus

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley   +1 more source

Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]

open access: yes, 2013
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  

On Certain Improvements on Coefficient Bounds for a Subclass of Convex Functions Associated With Cosine Functions

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we have studied the class Ccos of normalized analytic functions f satisfying 1 + zf″(z)/f′(z)≺cos(z). We present the improved coefficient bounds and the Hankel determinants of fourth order for functions lying in the class Ccos. We also extended the same results for the inverse function.
Umar Raza   +3 more
wiley   +1 more source

Fekete-Szegö and Hankel inequalities related to the sine function

open access: yesApplied Mathematics in Science and Engineering
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

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