Subordination and Superordination Results for a Class of Analytic Multivalent Functions
We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known 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/10.1155/2008/561638 |
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| _version_ | 1850221763134226432 |
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| author | S. P. Goyal Pranay Goswami H. Silverman |
| author_facet | S. P. Goyal Pranay Goswami H. Silverman |
| author_sort | S. P. Goyal |
| collection | DOAJ |
| description | We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results. |
| format | Article |
| id | doaj-art-6526cc5a91c74894a477c5560318bdd2 |
| institution | OA Journals |
| 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-6526cc5a91c74894a477c5560318bdd22025-08-20T02:06:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/561638561638Subordination and Superordination Results for a Class of Analytic Multivalent FunctionsS. P. Goyal0Pranay Goswami1H. Silverman2Department of Mathematics, University of Rajasthan, Jaipur 302004, IndiaDepartment of Mathematics, University of Rajasthan, Jaipur 302004, IndiaDepartment of Mathematics, College of Charleston, Charleston, SC 29424, USAWe derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.http://dx.doi.org/10.1155/2008/561638 |
| spellingShingle | S. P. Goyal Pranay Goswami H. Silverman Subordination and Superordination Results for a Class of Analytic Multivalent Functions International Journal of Mathematics and Mathematical Sciences |
| title | Subordination and Superordination Results for a Class of Analytic Multivalent Functions |
| title_full | Subordination and Superordination Results for a Class of Analytic Multivalent Functions |
| title_fullStr | Subordination and Superordination Results for a Class of Analytic Multivalent Functions |
| title_full_unstemmed | Subordination and Superordination Results for a Class of Analytic Multivalent Functions |
| title_short | Subordination and Superordination Results for a Class of Analytic Multivalent Functions |
| title_sort | subordination and superordination results for a class of analytic multivalent functions |
| url | http://dx.doi.org/10.1155/2008/561638 |
| work_keys_str_mv | AT spgoyal subordinationandsuperordinationresultsforaclassofanalyticmultivalentfunctions AT pranaygoswami subordinationandsuperordinationresultsforaclassofanalyticmultivalentfunctions AT hsilverman subordinationandsuperordinationresultsforaclassofanalyticmultivalentfunctions |