Hankel Determinant for a Class of Analytic Functions Related with Lemniscate of Bernoulli [PDF]
The object of the present investigation is to solve Fekete-Szegö problem and determine the sharp upper bound to the second Hankel determinant for a new class R of analytic functions in the unit disk.
Ashok Kumar Sahoo, Jagannath Patel
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The Fekete-Szegö problem for a general class of bi-univalent functions satisfying subordinate conditions [PDF]
In this work, we obtain the Fekete-Szegö inequalities for the class $P_{Sigma }left( lambda ,phi right) $ of bi-univalent functions. The results presented in this paper improve the recent work of Prema and Keerthi [11].
Şahsene Altınkaya, Sibel Yalҫın
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The Fekete–Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces [PDF]
We study the Fekete–Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete–Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses ...
JACOBZON, Fiana, ELIN, Mark
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On the Fekete–Szegö Problem for Meromorphic Functions Associated with p,q-Wright Type Hypergeometric Function [PDF]
Making use of a post-quantum derivative operator, we define two classes of meromorphic analytic functions. For the considered family of functions, we aim to investigate the sharp bounds’ values in the case of the Fekete–Szegö problem.
Adriana Cătaş
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Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant
In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions.
Abid Khan +4 more
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Hankel and Symmetric Toeplitz Determinants for a New Subclass of q-Starlike Functions
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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In this paper, using the basic concepts of symmetric q‐calculus operator theory, we define a symmetric q‐difference operator for m‐fold symmetric functions. By considering this operator, we define a new subclass ℛb(φ, m, q) of m‐fold symmetric bi‐univalent functions in open unit disk U. As in applications of Faber polynomial expansions for fm ∈ ℛb(φ, m,
Mohammad Faisal Khan +5 more
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On the Fekete–Szegö problem for concave univalent functions [PDF]
We consider the Fekete–Szegö problem with real parameter λ for the class Co(α) of concave univalent ...
Bhowmik, B +8 more
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In the current study, we construct a new subclass of bi-univalent functions with respect to symmetric conjugate points in the open disc E, described by Horadam polynomials. For this subclass, initial Maclaurin coefficient bounds are acquired.
S. Melike Aydoğan, Zeliha Karahüseyin
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Fekete–Szegö Functional Problem for a Special Family of m-Fold Symmetric Bi-Univalent Functions
In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients |dm+1| and |d2m+1| for functions in the special family.
Sondekola Rudra Swamy +2 more
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