Results 71 to 80 of about 3,690,143 (190)
Arab Journal of Basic and Applied SciencesThis paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk.
Sa’ud Al-Sa’di +4 more
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Chebyshev polynomial coefficient bounds for a subclass of bi-univalent functions [PDF]
In this work, considering a general subclass of bi-univalent functions and using the Chebyshev polynomials, we obtain coefficient expansions for functions in this ...
Yalçin, S., Altinkaya, Ş.
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On a New Class of Concave Bi-Univalent Functions Associated with Bounded Boundary Rotation
MathematicsIn this research article, we introduce a new subclass of concave bi-univalent functions associated with bounded boundary rotation defined on an open unit disk. For this new class, we make an attempt to find the first two initial coefficient bounds.
Prathviraj Sharma +3 more
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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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Coefficient bounds for new subclasses of bi-univalent functions
, 2013 In the present investigation, we consider two new subclasses N-Sigma(mu) (alpha, lambda) and N-Sigma(mu) (beta, lambda) of bi-univalent functions defined in the open unit disk U = {z : vertical bar z vertical bar < 1}.
ORHAN, Halit +2 more
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Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination [PDF]
, 2018 In the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f (z)z, f′ (z) and z f′′ (z) for ...
Güney, Hatun Özlem +2 more
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Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers
Journal of MathematicsThis study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy +4 more
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Frontiers in Applied Mathematics and StatisticsSubclasses of bi-univalent functions defined by the modified Tremblay operator and the Horadam polynomial generating function are investigated. Motivated by recent developments in geometric function theory, two subclasses are introduced through suitable ...
M. Nivedha, N. Shobanadevi
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(p, q)-Lucas polynomials and their applications to bi-univalent functions
Proyecciones (Antofagasta), 2019 In the present paper, by using the Lp,q,n(x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials.
Şahsene Altınkaya, Sibel Yalçın
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Estimates for the Initial Coefficients of Bi-univalent Functions
, 2016 [[abstract]]A bi-univalent function is a univalent function defined on the unit disk for which the inverse function has a univalent extension to the unit disk. The paper of H. M. Srivastava, A. K. Mishra and P.
Virendra Kumar +2 more
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