Results 41 to 50 of about 2,697,831 (219)

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

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

Strongly gamma-starlike functions of order alpha [PDF]

open access: yes, 2013
In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect.
Sokół, Janusz, Nunokawa, Mamoru
core   +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

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

Certain subclasses of meromorphic harmonic starlike functions

open access: yes, 2008
In a previous paper M.- P. Chen, Z.- R. Wu and Z.- Z. Zou [ M. P. Chen, Z.- R. Wu and Z.- Z. Zou, On functions alpha- starlike with respect to symmetric conjugate points, J. Math. Anal. Appl. 201 ( 1996) 25 - 34] developed a method, using some operators,
Bostancı, H., Öztürk, M.
core   +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

On a Subclass of Starlike Functions

open access: yesRocky Mountain Journal of Mathematics, 1994
Let \(A\) denote the class of functions \(f(z)= z+ \sum^ \infty_{k= 2} a_ k z^ k\) analytic in the unit disk \(D\), \(S\) and \(S^*\) denote the usual subclasses of univalent and starlike functions. For \(\beta< 1\) let \[ R(\beta)= \{ f\in A: \text{Re}(f'(z)+ zf''(z))> \beta,\;z\in D\}\text{ and } \beta_{S^*}= \inf\{\beta: R(\beta)\subset S^*\}. \] In
openaire   +2 more sources

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

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