Results 21 to 30 of about 751 (134)

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

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

Further Geometric Properties of the Barnes–Mittag-Leffler Function

open access: yesAxioms, 2023
In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
doaj   +1 more source

A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions

open access: yesJournal of Function Spaces, 2017
We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions.
Saqib Hussain   +3 more
doaj   +1 more source

Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach

open access: yesMathematics, 2020
The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and
Om Ahuja, Swati Anand, Naveen Kumar Jain
doaj   +1 more source

Droplet friction on superhydrophobic surfaces

open access: yesDroplet, Volume 5, Issue 2, April 2026.
By developing an experimental setup that simultaneously measures the friction force, macroscopic shape profile, and the macro‐ and microscopic contact line dynamics of a laterally sliding droplet, this study establishes an analytical model that predicts droplet friction on pillared superhydrophobic surfaces relying only on surface geometrical ...
Youhua Jiang, Chuanqi Wei
wiley   +1 more source

Integral Means and Arc length of Starlike Log-harmonic Mappings

open access: yesAbstract and Applied Analysis, 2011
We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
doaj   +1 more source

A subclass of strongly starlike functions [PDF]

open access: yesریاضی و جامعه
Let's denote $\mathcal{S}^{\ast}(f_c)$ as a family of analytic functions $f(z)=z+a_2z^2+a_3z^3+\cdots$ in the open unit disk $\mathbb{D}$ that satisfy the following relation for $c\in (0,1)$:$$\frac{zf'(z)}{f(z)}\prec f_c(z)=\frac{1}{\sqrt{1-cz}}, \quad ...
Vali Soltani Masih
doaj   +1 more source

Toeplitz Determinants for Inverse of Analytic Functions

open access: yesMathematics
Estimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi   +4 more
doaj   +1 more source

Certain integral operator and strongly starlike functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al.
Jin-Lin Liu
doaj   +1 more source

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