Results 11 to 20 of about 10,555,595 (364)

Convolution and Coefficient Estimates for (p,q)-Convex Harmonic Functions Associated with Subordination

open access: yesJournal of Function Spaces, 2022
We preface and examine classes of (p, q)-convex harmonic locally univalent functions associated with subordination. We acquired a coefficient characterization of (p, q)-convex harmonic univalent functions.
Hasan Bayram, Sibel Yalçın
doaj   +1 more source

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

open access: yesAxioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials.
A. Amourah   +5 more
semanticscholar   +1 more source

On Third-Order Differential Subordinations and Superordinations Results for Univalent Analytic Functions Defined by a New Operator

open access: yesWasit Journal for Pure Sciences, 2023
: In the current paper, we obtain sandwich theorems for univalent functions by using some of the finding of Third-order differential subordination and superordination for  univalent  functions defined by a new  operator  .
Ali Salamah
doaj   +1 more source

Sharp Bounds of the Fekete–Szegö Problem and Second Hankel Determinant for Certain Bi-Univalent Functions Defined by a Novel q-Differential Operator Associated with q-Limaçon Domain

open access: yesFractal and Fractional, 2023
In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
T. G. Shaba   +5 more
semanticscholar   +1 more source

NEIGHBOURHOODS OF UNIVALENT FUNCTIONS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2010
AbstractThe main result shows that a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighbourhood consisting entirely of univalent functions. For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro–
Pascu, Mihai N., Pascu, Nicolae R.
openaire   +2 more sources

Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

open access: yesMathematics, 2023
In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and ...
Abdulmtalb Hussen, Mohamed Illafe
semanticscholar   +1 more source

Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

open access: yesApplied 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

A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

open access: yesSymmetry, 2023
In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials.
T. Al-Hawary   +3 more
semanticscholar   +1 more source

Initial Coefficients Estimates and Fekete-Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

open access: yesAxioms, 2023
In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class,
Mohamed Illafe   +3 more
semanticscholar   +1 more source

Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle

open access: yesSymmetry, 2023
In the real world, there are many applications that find the Pascal distribution to be a useful and relevant model. One of these is the normal distribution. In this work, we develop a new subclass of analytic bi-univalent functions by making use of the q-
A. Alsoboh   +3 more
semanticscholar   +1 more source

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