Academic literature on the topic 'FEKETE-SZEGO COEFFICIENT FUNCTIONAL'

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Journal articles on the topic "FEKETE-SZEGO COEFFICIENT FUNCTIONAL"

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R.A Bello. "Coefficient Estimate for a Subclass ofAnalytic Functions Defined by aGeneralizedDifferential Operator." International Journal of Advances in Scientific Research and Engineering 09, no. 07 (2023): 60–70. http://dx.doi.org/10.31695/ijasre.2023.9.7.8.

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The purpose of this paper is to study the coefficient estimates of the class of functions in ()consisting of starlike functions. The sharp upper bounds for the initial coefficients and the Fekete-Szego functional of the functions in the class were established using the Opoola Differential Operator
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Chinthamani. S. "Coefficient Estimates for New Subclasses of m – fold Symmetric Functions Associated with Sakaguchi Type Function." Journal of Information Systems Engineering and Management 10, no. 3 (2025): 1094–103. https://doi.org/10.52783/jisem.v10i3.6734.

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This paper presents two new subclasses of the class of m - fold symmetric bi univalent Sakaguchi sort of functions on the open unit disc. For functions in these new subclasses, we derive initial coefficient estimates of the Fekete - Szego and Taylor - Maclaurin functional problems.
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Hamzat, Jamiu Olusegun. "Coefficient Bounds for Bazilevic Functions Associated with Modified Sigmoid Function." Asian Research Journal of Mathematics 5, no. 3 (2017): 1–10. https://doi.org/10.9734/ARJOM/2017/33818.

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The focus of the present paper is to obtain the sharp upper bounds of <em>a<sub>2 </sub></em>(α<em>)</em> and <em>a<sub>3 </sub></em>(α<em>)</em> for functions belonging to the Bazilevic class <em>B</em>(<em>α,n,γ,ø</em>) associated with modified sigmoid function. The connection of these bounds to the celebrated Fekete-Szego functional | <em>a<sub>3</sub></em>(α<em>)-</em> <em>µa<sup>2</sup><sub>2</sub></em><sub> </sub>(α<em>)</em>| follows as simple consequence.
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SR, Swamy, and Waggas Galib Atshan. "Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials." Gulf Journal of Mathematics 13, no. 2 (2022): 67–77. http://dx.doi.org/10.56947/gjom.v13i2.723.

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Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in the unit disc linked with Gegenbauer polynomials. We investigate certain coefficients bounds and the Fekete-Szego functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.
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Ahmad, Qazi, Nazar Khan, Mohsan Raza, Muhammad Tahir, and Bilal Khan. "Certain q-difference operators and their applications to the subclass of meromorphic q-starlike functions." Filomat 33, no. 11 (2019): 3385–97. http://dx.doi.org/10.2298/fil1911385a.

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The main aim of this work is to find some coefficient inequalities and sufficient condition for some subclasses of meromorphic starlike functions by using q-difference operator. Here we also define the extended Ruscheweyh differential operator for meromorphic functions by using q-difference operator. Several properties such as coefficient inequalities and Fekete-Szego functional of a family of functions are investigated.
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S, Chinthamani, and Lokesh P. "The Extension of Chebyshev Polynomial Bounds Involving Bazilevic Function." Indian Journal of Science and Technology 16, no. 27 (2023): 2040–46. https://doi.org/10.17485/IJST/v16i27.icrms-207.

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Abstract <strong>Objectives:</strong>&nbsp;To propose a new class of bi-univalent function based on Bazilevic Sakaguchi function using the trigonometric polynomials Tn ( q;eiq ) and to find the Taylor &ndash; Maclaurin coefficient inequalities and Fekete &ndash; Szego inequality for upper bounds.&nbsp;<strong>Methods:</strong>&nbsp;The Chebychev&rsquo;s polynomial has vast applications in GFT. The powerful tool called convolution (Or Hadamard product), subordination techniques are used in designing the new class. In establishing the core results, derivative tests, triangle inequality and appro
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El-Deeb, Sheza M., and Luminita-Ioana Cotîrlă. "Coefficient Estimates for Quasi-Subordination Classes Connected with the Combination of q-Convolution and Error Function." Mathematics 11, no. 23 (2023): 4834. http://dx.doi.org/10.3390/math11234834.

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We utilize quasi-subordination to analyze and introduce several new classes, and we construct a new operator by combining the error function and q-convolution. Additionally, we obtain estimates for the Fekete Szego functional and the Taylor–Maclaurin coefficients for functions in c2 and c3 new classes. Moreover, we discuss some applications of the operator.
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Panigrahi, Trailokya, and Janusz Sokól. "Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli." Boletim da Sociedade Paranaense de Matemática 37, no. 4 (2018): 83–95. http://dx.doi.org/10.5269/bspm.v37i4.32701.

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In this paper, a new subclass of analytic functions ML_{\lambda}^{*} associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szego functional |a_{3}-\mu a_{2}^{2}| for both real and complex \mu are considered. Further, the sharp upper bound to the second Hankel determinant |H_{2}(1)| for the function f in the class ML_{\lambda}^{*} using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.
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Srivastava, Hari M., Daniel Breaz, Shahid Khan, and Fairouz Tchier. "Certain New Applications of Symmetric q-Calculus for New Subclasses of Multivalent Functions Associated with the Cardioid Domain." Axioms 13, no. 6 (2024): 366. http://dx.doi.org/10.3390/axioms13060366.

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In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-convex functions. We examine a wide range of interesting properties for functions that can be classified into these newly defined classes, such as estimates for the bounds for the first two coefficients, Fekete–Szego-type functional and coefficient inequalities. All the results found in this research are sharp. A number of well-known corollaries are a
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Swarup, Chetan. "Sharp Coefficient Bounds for a New Subclass of q-Starlike Functions Associated with q-Analogue of the Hyperbolic Tangent Function." Symmetry 15, no. 3 (2023): 763. http://dx.doi.org/10.3390/sym15030763.

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In this study, by making the use of q-analogous of the hyperbolic tangent function and a Sălăgean q-differential operator, a new class of q-starlike functions is introduced. The prime contribution of this study covers the derivation of sharp coefficient bounds in open unit disk U, especially the first three coefficient bounds, Fekete–Szego type functional, and upper bounds of second- and third-order Hankel determinant for the functions to this class. We also use Zalcman and generalized Zalcman conjectures to investigate the coefficient bounds of a newly defined class of functions. Furthermore,
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Dissertations / Theses on the topic "FEKETE-SZEGO COEFFICIENT FUNCTIONAL"

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KHATTER, KANIKA. "COEFFICIENT ESTIMATES AND SUBORDINATION FOR UNIVALENT FUNCTIONS." Thesis, 2018. http://dspace.dtu.ac.in:8080/jspui/handle/repository/16433.

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Univalent function theory is a branch of geometric function theory which comprises of the various geometric properties of analytic functions. The first milestone in the field of univalent functions theory was achieved by Bieberbach in the year 1916, wherein he proved the second coefficient bound for a function f ∈ S of normalised analytic univalent functions. He also proposed a conjecture for the nth coefficient of the function in the class S in the same year. Bieberbach’s Conjecture states that the coefficients of thethefunction f ∈S satisfy|an|≤nforn = 2,3,4,··· withequalityifandonlyifholds if f
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