Results 61 to 70 of about 5,311 (200)
A Note on Neighbourhoods of Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1983 Using a notion of neighbourhood of analytic functions due to Stephan Ruscheweyh we examine conditions under which neighbourhoods of a certain class of convex functions are included in a class of starlike functions.
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On τ-Pseudo-ν-Convex κ-Fold Symmetric Bi-Univalent Function Family
, 2022 The object of this article is to explore a τ-pseudo-ν-convex κ-fold symmetric bi-univalent function family satisfying subordinations condition generalizing certain previously examined families. We originate the initial Taylor–Maclaurin
Sondekola Rudra Swamy +1 more
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Univalent Functions in the Möbius Invariant QK Space
Abstract and Applied Analysis, 2011 It is shown that a univalent function f belongs to QK if and only if sup a∈𝔻∫01M∞2(r,f∘φa-f(a))K′(log (1/r ...
Fernando Pérez-González +1 more
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Univalent Functions and Integrable Systems [PDF]
Communications in Mathematical Physics, 2005 We study one-parameter expanding evolution families of simply connected domains in the complex plane described by infinite systems of evolution parameters. These evolution parameters in some cases admit Hamiltonian formulation and lead to integrable systems.
Prokhorov, Dmitri, Vasil'ev, Alexander
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Integral representations of univalent functions and singular measures
, 1990 In [5], T. MacGregor showed that not every univalent function has a proposed integral representation with respect to Borel measures on the unit circle. In this paper, we study the decomposition of measures which do give rise to univalent functions.
Robert J. Bass
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Journal of Function Spaces, 2021 It is well-known that the logarithmic coefficients play an important role in the development of the theory of univalent functions. If S denotes the class of functions fz=z+∑n=2∞anzn analytic and univalent in the open unit disk U, then the logarithmic ...
Davood Alimohammadi +3 more
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A univalent function nowhere semiconformal on the unit circle
, 1978 We shall construct a function f holomorphic and univalent in the open unit disk such that f is not semiconformal at any point of the unit circle. It is also shown that f may be extended quasiconformally to the whole extended plane.
Shinji Yamashita
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Asymptotic Conformality and Polygonal Approximation
AxiomsUnivalent functions with asymptotically conformal extension to the boundary form a subclass of functions with quasiconformal extension with rather special features.
Samuel L. Krushkal
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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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Coefficients Of The Inverse Of Strongly Starlike Functions. [PDF]
, 2003 For the class of strongly starlike functions, sharp bounds on the first four coefficients of the inverse functions are determined. A sharp estimate for the Fekete-Szego coefficient functional is also obtained.
M. Ali, Roslhan
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