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Zbl 1125.30010
Patel, J.; Mishra, A.K.
On certain subclasses of multivalent functions associated with an extended fractional differintegral operator.
(English)
[J] J. Math. Anal. Appl. 332, No. 1, 109-122 (2007). ISSN 0022-247X

In this paper an extended fractional differintegral operator $\Omega^{\lambda,p}_z$ $(-\infty<\lambda< p+1$; $p\in\bbfN)$, for multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Consequences of the main results and their relevance to known results are pointed out.
[Tej Singh Nahar (Bhilwara)]
MSC 2000:
*30C45 Special classes of univalent and multivalent functions

Keywords: analytic function; multivalent function; differential subordination; fractional differintegral operator; Gauss hypergeometric function; Hadamard product (or convolution)

Cited in: Zbl pre06128484

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