Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2002-16
Keywords
Analytic function, univalent function, starlike function, convex function, hypergeometric function, gamma function
First Page
1453
Last Page
1465
Recommended Citation
YILDIZ, İSMET and AKYAR, ALAATTİN
(2020)
"An analytical investigatıon on starlikeness and convexity properties for hypergeometric functions,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 27.
https://doi.org/10.3906/mat-2002-16
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/27
