Sufficiency criteria for a class of p-valent analytic functions of complex order

Authors

  • Som Prakash Goyal Department of Mathematics University of Rajasthan Jaipur-302004 India
  • Onkar Singh University of Rajasthan, Jaipur
  • Paresh Vyas University of Rajasthan, Jaipur

Keywords:

Analytic functions, Multivalent functions, starlike function and convex function of complex order

Abstract

In this paper we obtain extensions of sufficient conditions for analytic functions f(z) in the open unit disk \mathcal{U} to be starlike and convex of complex order. Our results unify and extend some starlikeness and convexity conditions for analytic functions discussed by Mocanu [1988], Uyanik et al. [2011], Goyal et al. [2012] and others.

Author Biographies

  • Som Prakash Goyal, Department of Mathematics University of Rajasthan Jaipur-302004 India

    Emeritus Scientist

    Department of Mathematics

  • Onkar Singh, University of Rajasthan, Jaipur
    Research Scholar, Department of Mathematics
  • Paresh Vyas, University of Rajasthan, Jaipur
    Associate Professor, Department of Mathematics

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Published

2014-10-14

Issue

Section

Articoli