Close-to-Convexity properties of Clausen's Hypergeometric Function $_3F_2(a,b,c;d,e;z)$

K. Chandrasekran; D. J. Prabhakaran

Close-to-Convexity properties of Clausen's Hypergeometric Function $_3F_2(a,b,c;d,e;z)$

Complex Variables 2020-11-04 v1

Authors: K. Chandrasekran , D. J. Prabhakaran

Abstract

In this paper, we obtain various conditions on the parameters $a,\, b,\, c\,, d$ and $e$ for which the hypergeometric functions $z\,_3F_2(a,b,c;d,e;z)$ to be in the class of all close-to-convex function with respect to some well known convex functions.

Keywords

close-to-convex functions hypergeometric functions clausen function parameter conditions convex functions

Cite

@article{arxiv.2011.01487,
  title  = {Close-to-Convexity properties of Clausen's Hypergeometric Function $_3F_2(a,b,c;d,e;z)$},
  author = {K. Chandrasekran and D. J. Prabhakaran},
  journal= {arXiv preprint arXiv:2011.01487},
  year   = {2020}
}

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