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The Growth and Distortion Theorems for Slice Monogenic Functions [PDF]
arXiv, 2014 The sharp growth and distortion theorems are established for slice monogenic extensions of univalent functions on the unit disc $\mathbb D\subset \mathbb C$ in the setting of Clifford algebras, based on a new convex combination identity. The analogous results are also valid in the quaternionic setting for slice regular functions and we can even prove ...
arxiv
Distortion Theorems for Bloch Functions [PDF]
, 1992 Xiangyang Liu, David Minda
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The optimality of James’s distortion theorems [PDF]
, 1997 Patrick N. Dowling +3 more
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Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients I [PDF]
Surveys in Mathematics and its Applications, 2010 For certain univalent function f, we study a class of functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re { (zJ1λ, μ f(z))')/((1 -γ) J1λ, μ f(z) + γ z2(J1λ, μ f ...
Waggas Galib Atshan, S. R. Kulkarni
doaj
A Schwarz lemma for multivalued functions and distortion theorems for Bloch functions with branch points [PDF]
, 1999 Ian D. Graham, David Minda
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Remarks on James's distortion theorems II [PDF]
, 1999 Patrick N. Dowling +2 more
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The distortion theorems of linear invariant family on the unit ball [PDF]
, 2000 Sheng Gong, Qihuang Yu
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On two point distortion theorems for bounded univalent regular functions [PDF]
, 2001 James A. Jenkins
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Rate distortion theorem and the multicritical point of a spin glass [PDF]
, 2020 T. Murayama, Asaki Saito, Peter Davis
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