Results 21 to 30 of about 3,096,282 (119)
Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
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Bounds for Toeplitz Determinants and Related Inequalities for a New Subclass of Analytic Functions
Mathematics, 2023 In this article, we use the q-derivative operator and the principle of subordination to define a new subclass of analytic functions related to the q-Ruscheweyh operator.
Huo Tang +3 more
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A Comprehensive Family of Biunivalent Functions Defined by k-Fibonacci Numbers
Journal of Function Spaces, 2021 By using k-Fibonacci numbers, we present a comprehensive family of regular and biunivalent functions of the type gz=z+∑j=2∞ djzj in the open unit disc D.
Basem Aref Frasin +2 more
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COEFFICIENT BOUNDS FOR REGULAR AND BI-UNIVALENT FUNCTIONS LINKED WITH GEGENBAUER POLYNOMIALS
Проблемы анализа, 2021 The main goal of the paper is to initiate and explore two sets of regular and bi-univalent (or bi-Schlicht) functions in 𝔇 = {𝑧 ∈ C : |𝑧| < 1} linked with Gegenbauer polynomials.
S. R. Swamy, S. Yalçın
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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
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Fekete–Szegö Inequality for Bi-Univalent Functions Subordinate to Horadam Polynomials
Journal of Function Spaces, 2022 Making use of Horadam polynomials, we propose a special family of regular functions of the type gz=z+∑j=2∞djzj which are bi-univalent (or bi-schlicht) in the disc z∈ℂ ...
Amnah E. Shammaky +2 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q‐analogue of Mittag‐Leffler function associated with conic domain. A number of coefficient estimates of the functions in these classes have been obtained.
Adel A. Attiya +4 more
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Coefficient Related Studies for New Classes of Bi-Univalent Functions
Mathematics, 2020 Using the recently introduced Sălăgean integro-differential operator, three new classes of bi-univalent functions are introduced in this paper. In the study of bi-univalent functions, estimates on the first two Taylor–Maclaurin coefficients are usually ...
Ágnes Orsolya Páll-Szabó +1 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete‐Szegö inequality along with D21,Gg/2 and D22,Gg/
Pongsakorn Sunthrayuth +5 more
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Fekete–Szegö inequalities for certain class of meromorphic functions [PDF]
, 2013 In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]).
Aouf, M.K., El-Ashwah, R.M., Zayed, H.M.
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