Results 11 to 20 of about 6,253 (237)

Coefficient Estimates for Certain Classes of Bi-Univalent Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj   +2 more sources

New classes of analytic and bi-univalent functions

open access: yesAIMS Mathematics, 2021
Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.
Luminiţa-Ioana Cotîrlǎ
doaj   +2 more sources

Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials

open access: yesJournal of Function Spaces
In this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
doaj   +2 more sources

Estimates of Initial Coefficients for Bi-Univalent Functions [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013).
Paweł Zaprawa
doaj   +4 more sources

Development of Novel Subclasses for Bi-Univalent Functions

open access: yesASM Science Journal, 2021
This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator.
MUNIRAH ROSSDY   +2 more
doaj   +3 more sources

Coefficient estimates for certain subclasses of bi-univalent functions [PDF]

open access: hybridAIP Conference Proceedings, 2018
In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali   +2 more
openalex   +3 more sources

Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions. [PDF]

open access: yesInt Sch Res Notices, 2014
We introduce and investigate two new subclasses Mσα,λ and Mσβ,λ of meromorphic bi-univalent functions defined on Δ={z:z∈C,1<|z|<∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
Bulut S.
europepmc   +6 more sources

Results on BI-univalent Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
When the class σ \sigma of bi-univalent functions was first defined, it was known that functions of the form ϕ ∘ ψ − 1 ∈ σ \phi \circ {\psi ^{ - 1}} \in \sigma when ϕ \phi and
Styer, D., Wright, D. J.
openaire   +2 more sources

Second Hankel Determinant of Bi-univalent Functions

open access: yesMalaysian Journal of Fundamental and Applied Sciences, 2023
Let  be the class of functions which are analytic in the open unit disk and having the form . Denote  to be the class for all functions in  that are univalent in . Then, let  denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by ...
Kiu Shu Huey   +3 more
openaire   +1 more source

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

open access: yesمجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +1 more source

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