Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions

Ma'moun Harayzeh Al-Abbadi and Maslina Darus

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-15

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:369078

DOI: 10.1155/2010/369078

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