Results 21 to 30 of about 10,343,403 (331)
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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Coefficients Estimates of Bi-Univalent Functions Defined by New Subclass Function
Journal of Physics: Conference Series, 2020 In this paper, we introduce and investigate some new subclasses Sγn,q(λ,m,ϕ) and Wxk,α(λ,δ,ϕ) of bi-univalent functions in the unit disk U, which satisfies the qusi-subordination condition. We obtain estimates the first two Taylor-Maclarurin coefficients
Sarah A. Al-Ameedee +2 more
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A class of univalent functions [PDF]
Proceedings of the American Mathematical Society, 1973 A sharp coefficient estimate is obtained for a class D ( α ) D(\alpha ) of functions univalent in the open unit disc. The radius of convexity and an arclength result are also determined for the class.
T. R. Caplinger, W. M. Causey
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Initial Coefficient Bounds for Bi-Univalent Functions Related to Gregory Coefficients
Mathematics, 2023 In this article we introduce three new subclasses of the class of bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using the subordinations with the functions whose coefficients are Gregory numbers. First, we evidence that these classes are not
G. Murugusundaramoorthy +2 more
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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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On the coefficients of R-univalent functions [PDF]
Duke Mathematical Journal, 1955 (4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
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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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Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions
Science Journal of University of Zakho, 2022 This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah +1 more
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Univalent functions having univalent derivatives [PDF]
Rocky Mountain Journal of Mathematics, 1986 Let T denote the family of functions \(f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\), \(a_ n\geq 0\), which are analytic and univalent in the unit disk \(\Delta =\{| z|
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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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