SUBORDINATION AND SUPERORDINATION RESULTS FOR CERTAIN SUBCLAASSES OF ANALYTIC FUNCTIONS DEFINED BY THE RUSCHEWEYH DERIVATIVE AND A NEW GENERALISED MULTIPLIER TRANSFORMATION

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Published: Jul 25, 2013

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S R SWAMY

Abstract

In this paper, we consider the operator defined  by where  denote the class of analytic functions in the unit disc , of the form   is  the Ruscheweyh operator and ,   and  a real number with  Some interesting results of differential subordination and superordination are obtained using the new operator . Further, we also consider the sandwich-type results for this operator.

2010 Mathematics Subject Classification: Primary 30C80, Secondary 30C45.

Keywords and phrases:  Multiplier transformation, differential subordination, differential superordination, subordinant, dominant.

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SWAMY, S. R. (2013). SUBORDINATION AND SUPERORDINATION RESULTS FOR CERTAIN SUBCLAASSES OF ANALYTIC FUNCTIONS DEFINED BY THE RUSCHEWEYH DERIVATIVE AND A NEW GENERALISED MULTIPLIER TRANSFORMATION. Journal of Global Research in Mathematical Archives(JGRMA), 1(6), 27–37. Retrieved from https://jgrma.com/index.php/jgrma/article/view/75
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Vol. 1 No. 6 (2013): June-2013
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Research Paper
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