Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure

We use the familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships associated with the (𝑛,𝛿)-neighborhoods for these subclasses. Some interesting consequences of these results...

Full description

Bibliographic Details
Main Authors:	J. K. Prajapat, R. K. Raina
Format:	Article
Language:	English
Published:	Hindawi Limited 2008-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2008/318582

id	doaj-e080d8492671470a98019878474c57f6
record_format	Article
spelling	doaj-e080d8492671470a98019878474c57f62020-11-24T22:30:48ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/318582318582Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution StructureJ. K. Prajapat0R. K. Raina1Department of Mathematics, Sobhasaria Engineering College, NH-11, Gokulpura, Sikar, Rajasthan 332001, IndiaUniversity of Agriculture and Technology, Udaipur 313001, IndiaWe use the familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships associated with the (𝑛,𝛿)-neighborhoods for these subclasses. Some interesting consequences of these results are also pointed out.http://dx.doi.org/10.1155/2008/318582
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	J. K. Prajapat R. K. Raina
spellingShingle	J. K. Prajapat R. K. Raina Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure International Journal of Mathematics and Mathematical Sciences
author_facet	J. K. Prajapat R. K. Raina
author_sort	J. K. Prajapat
title	Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure
title_short	Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure
title_full	Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure
title_fullStr	Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure
title_full_unstemmed	Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure
title_sort	some new inclusion and neighborhood properties for certain multivalent function classes associated with the convolution structure
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2008-01-01
description	We use the familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships associated with the (𝑛,𝛿)-neighborhoods for these subclasses. Some interesting consequences of these results are also pointed out.
url	http://dx.doi.org/10.1155/2008/318582
work_keys_str_mv	AT jkprajapat somenewinclusionandneighborhoodpropertiesforcertainmultivalentfunctionclassesassociatedwiththeconvolutionstructure AT rkraina somenewinclusionandneighborhoodpropertiesforcertainmultivalentfunctionclassesassociatedwiththeconvolutionstructure
_version_	1725739325071556608

Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure

Similar Items