On certain subclasses of multivalent functions associated with an extended fractional differintegral operator

In the present paper an extended fractional differintegral operator Ω z ( λ , p ) ( − ∞ < λ < p + 1 ; p ∈ N ) , suitable for the study of multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investig...

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Vydáno v:	Journal of mathematical analysis and applications Ročník 332; číslo 1; s. 109 - 122
Hlavní autoři:	Patel, J., Mishra, A.K.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	San Diego, CA Elsevier Inc 01.08.2007 Elsevier
Témata:	Analytic function Differential subordination Exact sciences and technology Fractional differintegral operator Functions of a complex variable Gauss hypergeometric function Hadamard product (or convolution) Mathematical analysis Mathematics Multivalent function Sciences and techniques of general use Special functions Gauss hypergeometric function Analytic function Multivalent function Hadamard product (or convolution) Differential subordination Fractional differintegral operator Hadamard product Gauss function Convolution Mathematical analysis Hypergeometric function Application Analytical function
ISSN:	0022-247X, 1096-0813
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Shrnutí:	In the present paper an extended fractional differintegral operator Ω z ( λ , p ) ( − ∞ < λ < p + 1 ; p ∈ N ) , suitable for the study of 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. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2006.09.067