On the class of bi-univalent functions
Comptes Rendus. Mathématique, 2014 In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f
Sivasubramanian, Srikandan +3 more
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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 more
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Estimates of Initial Coefficients for Bi-Univalent Functions [PDF]
Abstract and Applied Analysis, 2014 We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions.
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Coefficient Bounds for Some Families of Bi-Univalent Functions with Missing Coefficients
Axioms, 2023 A branch of complex analysis with a rich history is geometric function theory, which first appeared in the early 20th century. The function theory deals with a variety of analytical tools to study the geometric features of complex-valued functions.
Ebrahim Analouei Adegani +3 more
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Coefficient Estimates for Some Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Linear Operator [PDF]
, 2021 The articles introduces and investigates "two new subclasses of the bi-univalent functions ." These are analytical functions related to the m-fold symmetric function and .
Hussein , Dhirgam Allawy Hussein +1 more
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Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)
Tikrit Journal of Pure Science, 2023 Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
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On Some New Classes of Bi-univalent Functions
Journal of Applied Mathematics, Statistics and Informatics, 2018 Abstract In the present paper, we introduce and investigate two new subclasses Q Σ (n; y;k) and B Σ (n;β;k) of bi-valent functions in the unit disk U.
Darus, M., Singh, Saumya
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Subclasses of Bi-Univalent Functions Associated with Hohlov Operator [PDF]
, 2017 The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions.
Aini Janteng +2 more
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
Sahand Communications in Mathematical AnalysisThe present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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Coefficient estimates for certain subclass of bi-univalent functions [PDF]
AIP Conference Proceedings, 2017 In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali +2 more
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