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Some extensions of the Open Door Lemma [PDF]

, 2015
Miller and Mocanu proved in their 1997 paper a greatly useful result which is now known as the Open Door Lemma. It provides a sucient condition for an analytic function on the unit disk to have positive real part. Kuroki and Owa modied the lemma when the
LI, Ming, SUGAWA, Toshiyuki
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Inclusion and distortion properties for certain meromorphically multivalent functions

, 2017
Two new subclasses Hp,k(λA;B) and Qp,k(λA;B) of meromorphically multivalent functions starlike with respect to k-symmetric points are introduced. Distortion bounds and inclusion relations for these subclasses are obtained.Mathematics Subject Classication
Srivastava, Rekha, Liu, Jin-Lin
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On a boundary property of analytic functions. [PDF]

J Inequal Appl, 2017
Nunokawa M, Sokół J.
europepmc +1 more source

Majorization problems for two subclasses of analytic functions connected with the Liu-Owa integral operator and exponential function. [PDF]

J Inequal Appl, 2018
Tang H, Deng G.
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Rigidity of Circle Packings with Crosscuts

, 2014
Circle packings with specified patterns of tangencies form a discrete counterpart of ana-lytic functions. In this paper we study univalent packings (with a combinatorial closed disk as tangent graph) which are embedded in (or fill) a bounded, simply ...
David Krieg, Elias Wegert
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Starlikeness associated with certain strongly functions. [PDF]