Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
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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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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Journal of Mathematics, 2022 The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. In
Shahid Khan +4 more
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New class of symmetric starlike functions subordinate to the generating function of Gregory coefficients. [PDF]
PLoS ONEFunction theory research has long struggled with the challenge of deriving sharp estimates for the coefficients of analytic and univalent functions.
Mohammad Faisal Khan +3 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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On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers
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 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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Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator
International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients |a2| and |a3|.
Waleed Al-Rawashdeh, Teodor Bulboaca
wiley +1 more source
Fekete-Szegö Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials
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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