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

  • 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
Published
2014-10-14
Section
Articoli