Mostafa, A., Aouf, M., Zayed, H. (2015). Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions. test, 23(3), 476-481. doi: 10.1016/j.joems.2015.01.002
A.O. Mostafa; M.K. Aouf; H.M. Zayed. "Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions". test, 23, 3, 2015, 476-481. doi: 10.1016/j.joems.2015.01.002
Mostafa, A., Aouf, M., Zayed, H. (2015). 'Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions', test, 23(3), pp. 476-481. doi: 10.1016/j.joems.2015.01.002
Mostafa, A., Aouf, M., Zayed, H. Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions. test, 2015; 23(3): 476-481. doi: 10.1016/j.joems.2015.01.002

Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions

Journal of the Egyptian Mathematical Society
Volume 23, Issue 3, 2015, Pages 476-481    PDF (462.27 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2015.01.002
Authors
A.O. Mostafa1; M.K. Aouf1; H.M. Zayed* 2
1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt
Abstract
The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian)
hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions.
Operators related to hypergeometric functions are also considered. Some of our results correct
previously known results.
Keywords
KEYWORDS Univalent; Starlike; Convex; Uniformly starlike; Uniformly convex; Hypergeometric function
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