Results 21 to 30 of about 5,557,111 (76)

On Integral Means for Fractional Calculus Operators of Multivalent Functions [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions.
Owa, Shigeyoshi   +2 more
core  

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

On an extension of Sakaguchi's result

open access: yes, 2015
We improve Pommerenke’s result [15] by using a generalized lemma from [11]. It gives an extension of Sakaguchi’s result too, [18]. Several applications of main theorems are presented. A part of them improves the previous results of this type. We consider
M. Nunokawa, J. Sokół
semanticscholar   +1 more source

New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points [PDF]

open access: yes, 2010
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  

Some properties of a class of holomorphic functions associated with tangent function

open access: yesDemonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar   +5 more
doaj   +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

On an application of Vietoris's inequality

open access: yes, 2016
The radius of starlikeness for polynomials with zeroes distributed at certain curves in the unit disc as well as the case in which zeroes are concentrated at a single point are considered and sharp bounds are obtained. Mathematics subject classification (
J. Sokół, P. Witowicz
semanticscholar   +1 more source

Prescribing the Preschwarzian in several complex variables

open access: yes, 2010
We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
core   +1 more source

Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is ...
Gochhayat, P., Mishra, A. K.
core  

Concave univalent functions and Dirichlet finite integral

open access: yes, 2016
The article deals with the class ${\mathcal F}_{\alpha }$ consisting of non-vanishing functions $f$ that are analytic and univalent in $\ID$ such that the complement $\IC\backslash f(\ID) $ is a convex set, $f(1)=\infty ,$ $f(0)=1$ and the angle at ...
Muhanna, Y. Abu, Ponnusamy, S.
core   +1 more source

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