Results 11 to 20 of about 383 (40)
On a local version of Jack’s lemma
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
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The Relationships Between p−valent Functions and Univalent Functions
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
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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
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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
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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
Quasisymmetric distortion spectrum
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
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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
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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
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
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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
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