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Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions

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  • Ma'moun Harayzeh Al-Abbadi
  • Maslina Darus

Abstract

A new generalised derivative operator 𠜇 𠜆 𠑛 , 𠑚 1 , 𠜆 2 is introduced. This operator generalised many well-known operators studied earlier by many authors. Using the technique of differential subordination, we will study some of the properties of differential subordination. In addition we investigate several interesting properties of the new generalised derivative operator.

Suggested Citation

  • Ma'moun Harayzeh Al-Abbadi & Maslina Darus, 2010. "Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-15, April.
    • Handle: RePEc:hin:jijmms:369078
    DOI: 10.1155/2010/369078
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