Articles

ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS

  • J. DZIOK ,
  • G. MURUGISUNDARAMOORTHY ,
  • J. SOKóL
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  • 1.Department of Mathematics, Institute of Mathematics, University of Rzesz´ow, ul. Rejtana 16A, 35-310 Rzesz´ow, Poland|2.School of Advanced Sciences, VIT University, Vellore - 632014, India|3.Department of Mathematics, Rzesz´ow University of Technology, ul. W. Pola 2, 35-959 Rzesz´ow, Poland

Received date: 2010-12-27

  Revised date: 2011-06-23

  Online published: 2012-07-20

Abstract

In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ* := {z ∈C : 0 < |z| < 1} by making use of the generalized Dziok–Srivastava operator Hl m[α1]. Coefficient inequalities, growth and distortion inequal-ities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.

Cite this article

J. DZIOK , G. MURUGISUNDARAMOORTHY , J. SOKóL . ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS[J]. Acta mathematica scientia, Series B, 2012 , 32(4) : 1376 -1390 . DOI: 10.1016/S0252-9602(12)60106-4

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