Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions

We investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well-known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.

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Main Authors: Sh. Khosravianarab, S. R. Kulkarni, O. P. Ahuja
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/450632
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author Sh. Khosravianarab
S. R. Kulkarni
O. P. Ahuja
author_facet Sh. Khosravianarab
S. R. Kulkarni
O. P. Ahuja
author_sort Sh. Khosravianarab
collection DOAJ
description We investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well-known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.
format Article
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issn 0161-1712
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language English
publishDate 2009-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-f8dec9dd6a7746bb931df98989262bc52025-08-20T03:20:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/450632450632Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent FunctionsSh. Khosravianarab0S. R. Kulkarni1O. P. Ahuja2Department of Mathematics, Pune University, 411007 Pune, IndiaDepartment of Mathematics, Fergusson College, 411004 Pune, IndiaDepartment of Mathematical Sciences, Kent State University, 14111 Claridon Troy Road, Burton, OH 44021-9500, USAWe investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well-known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.http://dx.doi.org/10.1155/2009/450632
spellingShingle Sh. Khosravianarab
S. R. Kulkarni
O. P. Ahuja
Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
International Journal of Mathematics and Mathematical Sciences
title Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
title_full Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
title_fullStr Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
title_full_unstemmed Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
title_short Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions
title_sort some properties of fractional calculus and linear operators associated with certain subclass of multivalent functions
url http://dx.doi.org/10.1155/2009/450632
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AT srkulkarni somepropertiesoffractionalcalculusandlinearoperatorsassociatedwithcertainsubclassofmultivalentfunctions
AT opahuja somepropertiesoffractionalcalculusandlinearoperatorsassociatedwithcertainsubclassofmultivalentfunctions