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

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173

184

12

1747-6933

DOIhttps://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.



Last updated on 2024-26-11 at 22:44