Fekete-Szegö Problem for a New Class of Analytic Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the Fekete-Szegö problem with complex parameter 𝜇 for the class 𝑅𝜏𝛾(𝜙) of analytic functions.
Deepak Bansal
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Fekete-Szegö Inequalities of a Subclass of Multivalent Analytic Functions [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results.
Selvaraj C. +2 more
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The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
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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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On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables [PDF]
Abstract and Applied Analysis, 2014 Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈Sa3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
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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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On the Fekete-Szegö problem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.
B. A. Frasin, Maslina Darus
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Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m-Fold Symmetric Bi-Univalent Functions [PDF]
Mathematics, 2022 The results presented in this paper deal with the classical but still prevalent problem of introducing new classes of m-fold symmetric bi-univalent functions and studying properties related to coefficient estimates.
Georgia Irina Oros +1 more
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The second Hankel determinant and the Fekete-Szegö functional for a subclass of analytic functions by using the q-Sălăgean derivative operator [PDF]
Alexandria Engineering JournalThe current study’s researchers create a new family of analytic functions in the open unit disk Λ by generalizing the q-difference operator. Our study lays a foundational understanding of the behavior of this functions.
Ekram E. Ali +4 more
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The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions [PDF]
Mathematics, 2021 In this paper, we introduce three new subclasses of m-fold symmetric holomorphic functions in the open unit disk U, where the functions f and f−1 are m-fold symmetric holomorphic functions in the open unit disk.
Daniel Breaz, Luminiţa-Ioana Cotîrlă
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