Results 51 to 60 of about 10,536,036 (281)

Differential inequalities for spirallike and strongly starlike functions

open access: yesAdvances in Difference Equations, 2021
In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
doaj   +1 more source

Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions

open access: yesSymmetry, 2022
In this paper, the theory of symmetric q-calculus and conic regions are used to define a new subclass of q-starlike functions involving a certain conic domain.
Shahid Khan   +5 more
semanticscholar   +1 more source

Convex and starlike criteria

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
doaj   +1 more source

Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions

open access: yesFractal and Fractional, 2021
In our present investigation, some coefficient functionals for a subclass relating to starlike functions connected with three-leaf mappings were considered.
Lei Shi   +5 more
semanticscholar   +1 more source

On starlike functions [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1980
Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
Gupta, V. P., Ahmad, Iqbal
openaire   +1 more source

Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

open access: yesJournal of Function Spaces, 2018
This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains.
Shahid Mahmood   +5 more
doaj   +1 more source

New Applications of Fractional q-Calculus Operator for a New Subclass of q-Starlike Functions Related with the Cardioid Domain

open access: yesFractal and Fractional
Recently, a number of researchers from different fields have taken a keen interest in the domain of fractional q-calculus on the basis of fractional integrals and derivative operators.
Mohammad Faisal Khan, Mohammed AbaOud
semanticscholar   +1 more source

Applications of Certain Conic Domains to a Subclass of q-Starlike Functions Associated with the Janowski Functions

open access: yesSymmetry, 2021
In our present investigation, with the help of the basic (or q-) calculus, we first define a new domain which involves the Janowski function. We also define a new subclass of the class of q-starlike functions, which maps the open unit disk U, given by U= 
B. Khan   +5 more
semanticscholar   +1 more source

On Uniformly Starlike Functions with Respect to Symmetrical Points Involving the Mittag-Leffler Function and the Lambert Series

open access: yesSymmetry
The aim of this paper is to define the linear operator based on the generalized Mittag-Leffler function and the Lambert series. By using this operator, we introduce a new subclass of β-uniformly starlike functions ΤJ(αi).
Jamal Salah
semanticscholar   +1 more source

Bounds for the Second Hankel Determinant of Certain Univalent Functions

open access: yes, 2013
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See   +2 more
core   +1 more source

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