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Some families of complex lines sufficient for holomorphic extension of functions

✍ Scribed by A. M. Kytmanov; S. G. Myslivets

Book ID: 111503565
Publisher: Allerton Press, Inc.
Year: 2011
Tongue: English
Weight: 499 KB
Volume: 55
Category: Article
ISSN: 1066-369X
DOI: 10.3103/s1066369x11040074

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In the present work, the authors determine coefficient bounds for functions in certain subclasses of starlike and convex functions of complex order, which are introduced here by means of a family of nonhomogeneous Cauchy-Euler differential equations. Several corollaries and consequences of the main