Results 1 to 10 of about 1,415 (218)
Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]
HeliyonIn this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh +4 more
doaj +2 more sources
Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator [PDF]
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 In this paper, we define a new subclass of bi-univalent functions involving a Hohlov operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and | a3|.
Gangadharan Murugusundaramoorthy +1 more
doaj +2 more sources
Coefficient estimates for initial Taylor-Maclaurin coefficients for a subclass of analytic and bi-univalent functions defined by Al-Oboudi differential operator. [PDF]
ScientificWorldJournal, 2013 Bulut S.
europepmc +3 more sources
AIMS Mathematics, 2020 In the present study, we introduced general a subclass of bi-univalent functions by using the Bell numbers and $q-$Srivastava Attiya operator. Also, we investigate coefficient estimates and famous Fekete-Szegö inequality for functions belonging to this ...
Erhan Deniz +2 more
doaj +2 more sources
Initial Coefficient Bounds for interesting Subclasses of Meromorphic and and Bi-Univalent Functions [PDF]
Journal of Mahani Mathematical Research, 2022 In this paper, we investigate an interesting subclass of univalent functions. Also, we introduce a new subclass of meromorphic bi-univalent functions. We obtain the estimates on the initial Taylor-Maclurin Coefficients for functions in the interesting ...
Hormoz Rahmatan +2 more
doaj +1 more source
Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
doaj +1 more source
Applied Mathematics in Science and Engineering, 2022 In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature.
Qiuxia Hu +5 more
doaj +1 more source
Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
doaj +1 more source
AIMS Mathematics, 2023 In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds.
Prathviraj Sharma +2 more
doaj +1 more source
AIMS Mathematics, 2021 In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain $q$-integral operator in the open unit disk $\mathbb{U}$.
Bilal Khan +5 more
doaj +1 more source