Results 71 to 80 of about 10,536,036 (281)

Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions

Advances in Differential Equations, 2021
In the present investigation, with the help of certain higher-order q -derivatives, some new subclasses of multivalent q -starlike functions which are associated with the Janowski functions are defined.
B. Khan, Zhi-Guo Liu, H. Srivastava, S. Araci, N. Khan, Q. Z. Ahmad   +5 more
semanticscholar   +1 more source

q-STARLIKE FUNCTIONS OF ORDER ALPHA

TWMS Journal of Applied and Engineering Mathematics, 2018
Summary: For all \(q\in(0,1)\) and \(0\leq ...
Uçar, Faruk, Yılmaz, Bülent, POLATOĞLU, YAŞAR   +2 more
openaire   +7 more sources

Study of (p, q)‐Symmetric Starlike Functions of Order η

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan, Rashid Murtaza, Adnan, Mohammad Khalid Nasrat, Ozgur Ege   +4 more
wiley   +1 more source

Toeplitz Determinants for Inverse of Analytic Functions

Mathematics
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, Yahea Hashem Saleem, Alina Alb Lupaş, Khalid M. K. Alshammari, Abdullah Alatawi   +4 more
doaj   +1 more source

A subclass of strongly starlike functions [PDF]

ریاضی 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

A generalization of starlike functions of order alpha [PDF]

, 2015
For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
core  

On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam, Samar. M. Madian, Abdul Rauf Khan   +2 more
wiley   +1 more source

Integral Means and Arc length of Starlike Log-harmonic Mappings

Abstract 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

Straightforward Preparation of Polyurethane‐Based Biomaterials with Dual Antibacterial and Anti‐Adhesive Properties for Long‐Lasting Catheter Applications

Advanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.
This study presents the elaboration of antibacterial, antiadhesive, and antibiofilm polyurethane by a straightforward process based on the co‐extrusion of 2 wt.% of both antibacterial and antiadhesive copolymer. The material proves to be active even after pre‐exposition to biological media and prevents E. coli biofilm formation without toxicity.
Baptiste Caron, Marc Maresca, Amélie Leroux, Marie Lemesle, Jean Louis Coussegal, Yohann Guillaneuf, Catherine Lefay   +6 more
wiley   +1 more source

A Subclass of q-Starlike Functions Defined by Using a Symmetric q-Derivative Operator and Related with Generalized Symmetric Conic Domains

Mathematics, 2021
In this paper, the concepts of symmetric q-calculus and conic regions are used to define a new domain Ωk,q,α˜, which generalizes the symmetric conic domains.
Shahid Khan, S. Hussain, M. Naeem, M. Darus, A. Rasheed   +4 more
semanticscholar   +1 more source