Advances in Theoretical and Applied Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 1

Inclusion relations involving certain classes of p–valent meromorphic functions with positive coefficients based on a linear operator

  • Author:
  • Poonam Sharma, Deepaly Chowdhary
  • Total Page Count: 16
  • Page Number: 15 to 30

Department of Mathematics & Astronomy, University of Lucknow, Lucknow – 226007 INDIA.

*E-mail: poonambaba@yahoo.com

Abstract

In this paper two classes Mp(γ, a, c, β) and Np(γ, a, c, β, μ) of p–valent meromorphic functions of the form involving a linear operator are defined. Coefficient inequalities and extreme points for functions belonging to these classes are obtained. Inclusion relations of these classes using δ–neighbourhood Nδp (I) are also found. Further, using subordinate characterization inclusion relation between Mp(γ, a, c, β) and Np(γ, a, c, β, μ) is also obtained.

Keywords

p-valent functions, analytic functions, meromorphic functions, linear operator, subordination, neighbourhood