Starlikeness of the Gaussian hypergeometric functions
: Hästö Peter, Ponnusamy S, Vuorinen Matti
: 2010
: Complex Variables and Elliptic Equations
: Complex Variables and Elliptic Equations
: null
: 55
: null
: 173
: 184
: 12
: 1747-6933
DOI: https://doi.org/10.1080/17476930903276134
: http://api.elsevier.com/content/abstract/scopus_id:75649107631
In this article, we derive conditions on the parameters a, b, c so that the function zF(a, b; c; z) is starlike in D, where F(a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator. © 2010 Taylor & Francis.