JIPAM

Meromorphic Functions with Positive Coefficients Defined Using Convolution  
 
  Authors: S. Sivaprasad Kumar, V. Ravichandran, H.C. Taneja,  
  Keywords: Meromorphic functions, Starlike function, Convolution, Positive coefficients, Coefficient inequalities, Growth and distortion theorems, Closure theorems, Integral operator.  
  Date Received: 25/05/05  
  Date Accepted: 31/05/05  
  Subject Codes:

30C45

  
  Editors: Herb Silverman,  
 
  Abstract:

For certain meromorphic function $ g$ and $ h$, we study a class of functions , (), defined in the punctured unit disk $ Delta^*$, satisfying

Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. Properties of an integral operator and its inverse defined on the new class is also discussed. In addition, we apply the concepts of neighborhoods of analytic functions to this class.;


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