1,720,969 research outputs found
ON SOME SUBCLASSES OF BI-PSEUDO-STARLIKE FUNCTIONS DEFINED BY SAˇLAˇGEANDIFFERENTIALOPERATOR
Get PDFBy applying Saˇlaˇgean operator, two new subclasses of bi-univalent functions associ-
ated with pseudo-starlike function in ∇ which are denoted by Bφ,b(β, ψ) and Bφ,b(μ, ψ). Also, EE
we investigated estimates on the coefficients |m2| and |m3| for functions in these new subclasses and significance of the results are indicated
(P, Q)-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators
No full textIn the discipline of geometric function theory, Lucas polynomials and other special polynomials have recently acquired traction. We establish a new class of bi-univalent functions and get coefficient estimates and Fekete-Szego inequalities for this new class in this paper by connecting these polynomials, subordination and combination of Babalola and Opoola operator
FEKETE-SZEGO PROBLEM FOR SOME SUBCLASSES OF HOLOMORPHIC FUNCTIONS DEFINED BY THE COMBINATION OF OPOOLA AND BABALOLA DIFFERENTIAL OPERATORS
No full textFEKETE-SZEGÖ PROBLEM AND SECOND HANKEL DETERMINANT FOR A CLASS OF τ-PSEUDO BI-UNIVALENT FUNCTIONS INVOLVING EULER POLYNOMIALS
Get PDFCoefficients Bounds for Certain New Subclasses of Meromorphic Bi-univalent Functions Associated with Al-Oboudi Differential Operator
Get PDFInvestigating q-exponential functions in the context of bi-univalent functions: ınsights into the Fekctc-Szcgö problem and second Hankel determinant
No full textThis paper draws inspiration from previous studies and established concepts regarding coefficient estimates within the domains of bi-univalent and analytic functions. In our research, we introduce a novel subclass, which is associated with the q-exponential function. Our investigation focuses on addressing the Fekete-Szego problem within the class, specifically in relation to the q-exponential function. We furnish approximations for the coefficients in question and determine the maximum potential value for the second Hankel determinant. Furthermore, we showcase the accuracy and meticulousness of these discoveries regarding the boundary. © 2023 IEEE
Application of three leaf domain on a subclass of bi-univalent functions
No full textIn this manuscript, our inspiration stems from recent advancements in research and the widely recognized notion of coefficient estimates applicable to analytic and bi-univalent functions(BF) categories. Initially, we introduce fresh subcategories, denoted as \mathcal{T}{\mathcal{D}_\Sigma }, within the realm of analytic functions(AF) and BF. These subcategories are intricately linked with the concept of a three-leaf domain. Subsequently, we tackle the Fekete-Szegö problem within the scope of the \mathcal{T}{\mathcal{D}_\Sigma } class that pertains to a three-leaf domain. We concentrate on setting boundaries for the coefficients, as well as defining a maximum limit for the second Hankel determinant(HD). Notably, it should be emphasized that nearly all outcomes attain their utmost precision, accompanied by the presentation of their respective extreme functions. © 2024 IEEE
Exploring a special class of bi-univalent functions: q-bernoulli polynomial, q-convolution, and q-exponential perspective
Get PDFThis research article introduces a novel operator termed q-convolution, strategically integrated with foundational principles of q-calculus. Leveraging this innovative operator alongside q-Bernoulli polynomials, a distinctive class of functions emerges, characterized by both analyticity and bi-univalence. The determination of initial coefficients within the Taylor-Maclaurin series for this function class is accomplished, showcasing precise bounds. Additionally, explicit computation of the second Hankel determinant is provided. These pivotal findings, accompanied by their corollaries and implications, not only enrich but also extend previously published results. © 2023 by the authors
Utilizing the q-shaba differential operator on a specific category of analytic functions
No full textThe current investigation introduces a fresh category of analytic functions by utilizing the differential operator referred to as the q-Shaba operator. Termed as the q-Shaba differential operator throughout this study, it plays a crucial role in defining this innovative subset of functions. Moreover, the research expands and builds upon prior findings by employing the q-Shaba differential operator on various previously defined subsets and their associated outcomes. The primary objectives of this research include computing the coefficients, along with the second and third Hankel determinants and Fekete-Szego estimates, for the recently established group of functions. Additionally, the study seeks to examine the upper limits of the coefficients |dk| required for the functions f(ξ) to fall within this newly introduced classification. © 2024 IEEE
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