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Symmetry 2019, 11(1), 76; https://doi.org/10.3390/sym11010076

The Order of Strongly Starlikeness of the Generalized α-Convex Functions

1
Department of Mathematics, Maanshan Teacher’s College, Maanshan 243000, China
2
Department of Mathematics and Statistics, University of Victoria, British Columbia, VIC V8W 3R4, Canada
3
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
*
Authors to whom correspondence should be addressed.
Received: 28 December 2018 / Revised: 8 January 2019 / Accepted: 10 January 2019 / Published: 11 January 2019
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
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PDF [224 KB, uploaded 11 January 2019]

Abstract

We consider the order of the strongly-starlikeness of the generalized α -convex functions. Some sufficient conditions for functions to be p-valently strongly-starlike are given. View Full-Text
Keywords: analytic; α-convex function; starlike function; strongly-starlike function; subordination analytic; α-convex function; starlike function; strongly-starlike function; subordination
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Yuan, Y.; Srivastava, R.; Liu, J.-L. The Order of Strongly Starlikeness of the Generalized α-Convex Functions. Symmetry 2019, 11, 76.

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