Properties of Hypergeometric Functions for Functions Certain Subclasses of Sakaguchi Type Functions
N. P. Damodaran1, B. Srutha Keerthi2
1N.P. Damodaran, Research Scholar, Department of Mathematics Division, School of Advanced Sciences VIT Chennai, Vandaloor, Kelambakkam Road Chennai (Tamil Nadu), India.
2B. Srutha Keerthi, Department of Mathematics Division, School of Advanced Sciences VIT Chennai, Vandaloor, Kelambakkam Road, Chennai (Tamil Nadu), India.
Manuscript received on 08 February 2019 | Revised Manuscript received on 14 February 2019 | Manuscript Published on 19 February 2019 | PP: 491-500 | Volume-7 Issue-5S January 2019 | Retrieval Number: ES2191017519/19©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The purpose of the present paper is to give a sufficient condition for [Gaussian] hyper geometric function to be in a subclass of analytic function which is also necessary condition under additional restrictions. Similar results for the corresponding subclasses of analytic functions are also obtained. Furthermore an integral operator related to the hypergeometric function is determined.2000 Subject Classification: 30C45.
Keywords: And Phrases: Analytic Functions, Starlike Functions, Convex Functions, Hypergeometric Functions, Integral Operator.
Scope of the Article: Software Defined Networking and Network Function Virtualization