Results 1 to 10 of about 1,040 (124)
On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers [PDF]
Mathematics, 2023 One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö ...
Daniel Breaz +3 more
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Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials [PDF]
Journal of Mathematics, 2022 In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad +4 more
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Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their ...
Sarfraz Nawaz Malik +3 more
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Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials [PDF]
Journal of Function Spaces, 2021 In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained.
Ala Amourah +2 more
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Axioms, 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
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On Certain Class of Bazilevič Functions Associated with the Lemniscate of Bernoulli [PDF]
Journal of Function Spaces, 2020 Making use of the principle of subordination, we introduce a certain class of multivalently Bazilevic˘ functions involving the Lemniscate of Bernoulli.
Tamer M. Seoudy, Amnah E. Shammaky
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Fractal and Fractional, 2023 Some well-known authors have extensively used orthogonal polynomials in the framework of geometric function theory. We are motivated by the previous research that has been conducted and, in this study, we solve the Fekete–Szegö problem as well as give ...
Sadia Riaz +5 more
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Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]
Mathematica Bohemica, 2023 We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and
Sheza M. El-Deeb, Serap Bulut
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A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei +2 more
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
Fractal and Fractional, 2022 This paper considers the basic concepts of q-calculus and the principle of subordination. We define a new subclass of q-starlike functions related to the Salagean q-differential operator.
Isra Al-shbeil +6 more
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