Results 11 to 20 of about 3,515 (190)
Univalent functions with univalent derivatives. II [PDF]
Transactions of the American Mathematical Society, 1969 S. M. Shah, S. Y. Trimble
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On the growth of univalent functions. [PDF]
Michigan Mathematical Journal, 1968 Ch. Pommerenke
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On a ratio of a univalent function
Journal of Mathematical Analysis and Applications, 1976 G. R. Burdick, F. R. Keogh, E. P. Merkes
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Univalency of Certain Transform of Univalent Functions
Proceedings of the Bulgarian Academy of Sciences, 2023 We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
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Locally Univalent Functions with Locally Univalent Derivatives [PDF]
Transactions of the American Mathematical Society, 1971 Douglas M. Campbell
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Univalent harmonic functions [PDF]
Transactions of the American Mathematical Society, 1987 Several families of complex-valued, univalent, harmonic functions are studied from the point of view of geometric function theory. One class consists of mappings of a simply-connected domain onto an infinite horizontal strip with a normalization at the origin.
Glenn Schober, Walter Hengartner
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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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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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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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