Results 21 to 30 of about 537,864 (334)
Subordination by Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1981 Let K K be the class of functions f ( z ) = z + a 2 z 2 + ⋯ f(z) = z + {a_2}{z^2} + \cdots , which are regular and univalently convex in
Ram Singh, Sunder Singh
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Univalence Criteria for Locally Univalent Analytic Functions
Ukrainian Mathematical Journal, 2023 UDC 517.5 Suppose that p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0. We establish the lower and upper bounds for the best constants σ 0
Zhenyong Hu, Jinhua Fan, Xiaoyuan Wang
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Coefficient Estimates for Certain Classes of Bi-Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2013 A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
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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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On the Derivative of a Univalent Function [PDF]
Proceedings of the American Mathematical Society, 1953 Various results are known concerning the rate of growth of the derivative of a function f(z), analytic and univalent in the circle Izi
A. J. Lohwater, George Piranian
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On initial coefficient inequalities for certain new subclasses of bi-univalent functions
Journal of the Egyptian Mathematical Society, 2017 In the present paper, we introduce two interesting subclasses of the class of bi-univalent functions defined on the open unit disk U and obtain improved estimates on the initial coefficients |a2|, |a3| and |a4| for the functions in these subclasses.
Uday H. Naik, Amol B. Patil
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On a class of univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 We consider the class of univalent functions defined by the conditions f(z)/z ≠ 0 and |(z/f(z))′′| ≤ α, |z| < 1, where f(z) = z + ⋯ is analytic in |z| < 1 and 0 < α ≤ 2.
Dinggong Yang, Jin-Lin Liu
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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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On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained
Mohammed Fathi, Abdul Rahman Juma
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Mathematics, 2019 In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
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