- Turkish Journal of Mathematics
- Vol: 44 Issue: 4
- An analytical investigatıon on starlikeness and convexity properties for hypergeometric functions
An analytical investigatıon on starlikeness and convexity properties for hypergeometric functions
Authors : Ismet Yildiz, Alaattin Akyar
Pages : 1453-1465
Doi:10.3906/mat-2002-16
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this study, we analytically investigate hypergeometric functions having some properties such as convexity and starlike. We fundamentally focus on obtaining desired conditions on the parameters \ a,b\ , and $c$ in order that a hypergeometric function to be in various subclasses of starlike and convex functions of order \ \alpha=2^{-r}\ and order \ \alpha=2^{-r}\ type $\beta=2^{-1}$, with $r$ is a positive integer.Keywords : Analytic function, univalent function, starlike function, convex function, hypergeometric function, gamma function