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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/318582 |
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| author | J. K. Prajapat R. K. Raina |
| author_facet | J. K. Prajapat R. K. Raina |
| author_sort | J. K. Prajapat |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e080d8492671470a98019878474c57f6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e080d8492671470a98019878474c57f62025-02-03T05:46:42ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2008/318582 |
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