Results 81 to 90 of about 325 (120)

Certain New Applications of Symmetric q-Calculus for New Subclasses of Multivalent Functions Associated with the Cardioid Domain

Axioms
In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex ...
Hari M. Srivastava, Daniel Breaz, Shahid Khan, Fairouz Tchier   +3 more
doaj   +1 more source

Applications of Bernoulli Polynomials and q²-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Mathematics
The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials.
Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish, Paduvalapattana Kempegowda Mamatha   +3 more
doaj   +1 more source

Fekete-Szego inequality for certain class of close-to-convex functions on a real parameter / Nonis Airina Mohd Arshad [PDF]

In the present paper, we examine the upper bounds of the second Fekete-Szego inequality. The geometric function theory of complex analysis is a fascinating study area, focusing on analytic univalent functions and their geometric properties. However, this
Mohd Arshad, Nonis Airina
core  

Some New Subclasses of Bi-Univalent Functions Related to Quantum Calculus

Mathematics
The primary objective of this paper is to introduce and investigate several novel subclasses of bi-univalent functions associated with the q-calculus framework.
Renjie Guo, Sadia Riaz, Wajiha Bushra, Adeel Ahmad, Saqib Hussain, Saima Noor   +5 more
doaj   +1 more source

On Bi-Univalent Function Classes Defined via Gregory Polynomials

Mathematics
In this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk.
Ibtisam Aldawish, Mallikarjun G. Shrigan, Sheza El-Deeb, Hari M. Srivastava   +3 more
doaj   +1 more source

Exploring Bi-Univalent Classes via q-Derivatives and Bivariate Fibonacci Polynomials

Mathematics
The q-calculus framework has emerged as a powerful tool in geometric function theory, enabling refined analysis of analytic and bi-univalent functions.
Aruna Mogarala Guruvaya, Basem Aref Frasin, Ibtisam Aldawish, Sondekola Rudra Swamy   +3 more
doaj   +1 more source

The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the q-Sălăgean derivative operator

Alexandria Engineering Journal
The current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions.
Ekram E. Ali, H.M. Srivastava, Wafaa Y. Kota, Rabha M. El-Ashwah, Abeer M. Albalah   +4 more
doaj   +1 more source

The Fekete–Szegö functional associated with k-th root transformation using quasi-subordination [PDF]

, 2015
Janusz Sokół, Palpandy Gurusamy, Srikandan Sivasubramanian   +2 more
core   +2 more sources

Fekete–Szegö inequality for certain spiral-like functions [PDF]

, 2016
Allu Vasudevarao
core   +2 more sources

Toeplitz and Hankel determinants of logarithmic coefficients for <i>r</i>-valent <i>q</i>-starlike and <i>r</i>-valent <i>q</i>-convex functions. [PDF]

MethodsX
Sabir PO, Ali AA.
europepmc   +1 more source