Results 61 to 70 of about 96 (94)

Bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions subordinated to sine function

open access: yes
The objective of this paper is to investigate the bounds of third and fourth Hankel determinants for a generalized subclass of bounded turning functions associated with sine function, in the open unit disc E = {z ∈ C : |z| < 1}.
SINGH, Gagandeep, SINGH, Gurcharanjit
core   +1 more source

Generalization of Jack’s Lemma for Functions With Fixed Initial Coefficient and Its Applications

open access: yes
In this paper, by using the theory of differential subordination, we will generalize Jack’s lemma for functions with fixed initial coefficient. Then extensions of the well-known open-door lemma for analytic and meromorphic functions with fixed initial ...
SHAMS, Saied   +2 more
core   +1 more source

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains

open access: yes
In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
core   +1 more source

Certain theorems involving differential superordination and sandwich-type results

open access: yes
To obtain the main result of the present paper, we use the technique of differential superordination. As special cases of our main result, we obtain sufficient conditions for f ∈ A to be φ−like, parabolic φ−like, starlike, parabolic starlike, close-to ...
KAUR, Hardeep   +2 more
core   +1 more source

On a boundary property of analytic functions. [PDF]

open access: yesJ Inequal Appl, 2017
Nunokawa M, Sokół J.
europepmc   +1 more source

Hankel and symmetric Toeplitz determinants for Sakaguchi starlike functions

open access: yes
In this paper, we consider the class of starlike functions with respect to symmetric points which are also known as Sakaguchi starlike functions. We de- termine best possible bounds on Zalcman conjecture | –  and generalized Zalcman conjecture |aman − am+
JAIN, Naveen Kumar   +2 more
core   +1 more source

On the class of analytic functions defined by Robertson associated with nephroid domain

open access: yes
The primary focus of this article is to explore a novel subclass, denoted as GNGN, of analytic functions. These functions exhibit starlike properties concerning a boundary point within a nephroid domain.  The author obtains representation ...
SIVASUBRAMANIAN, Kavitha
core   +1 more source

Rigidity of Circle Packings with Crosscuts

open access: yes, 2014
Circle packings with specified patterns of tangencies form a discrete counterpart of ana-lytic functions. In this paper we study univalent packings (with a combinatorial closed disk as tangent graph) which are embedded in (or fill) a bounded, simply ...
David Krieg, Elias Wegert
core  

Ma-Minda starlikeness of certain analytic functions

open access: yes
A normalized analytic function defined on the open unit disc D is called Ma-Minda starlike if zf ′(z)/f(z) is subordinate to the function φ. For a normalized convex function f defined on D and α > 0, we determine the radius of Ma-Minda starlikeness of
JANANI, Baskar Babujee, RAVICHANDRAN, V.
core   +1 more source

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