On certain classes of p-Valent functions by using complex-order and differential subordination.
The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Furthe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
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Hindawi Publishing Corporation
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15892/ http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf |
| _version_ | 1848842806837116928 |
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| author | Kilicman, Adem Tehranchi, Abdolreza |
| author_facet | Kilicman, Adem Tehranchi, Abdolreza |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. |
| first_indexed | 2025-11-15T08:04:59Z |
| format | Article |
| id | upm-15892 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:04:59Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-158922015-09-22T08:24:48Z http://psasir.upm.edu.my/id/eprint/15892/ On certain classes of p-Valent functions by using complex-order and differential subordination. Kilicman, Adem Tehranchi, Abdolreza The aim of the present paper is to study the p-valent analytic functions in the unit disk and satisfy the differential subordinations z(Ip)r, ?(f(z))(j+1)/(p - j)(?p(r, ?)f(z))(j) < (a + (aB + (A- B)ß)z)/a(1 + Bz), where ?p(r, ?) is an operator defined by Salagean and ßis a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf Kilicman, Adem and Tehranchi, Abdolreza (2010) On certain classes of p-Valent functions by using complex-order and differential subordination. International Journal of Mathematics and Mathematical Sciences, 2010. pp. 1-12. ISSN 0161-1712 10.1155/2010/275935 English |
| spellingShingle | Kilicman, Adem Tehranchi, Abdolreza On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title | On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title_full | On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title_fullStr | On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title_full_unstemmed | On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title_short | On certain classes of p-Valent functions by using complex-order and differential subordination. |
| title_sort | on certain classes of p-valent functions by using complex-order and differential subordination. |
| url | http://psasir.upm.edu.my/id/eprint/15892/ http://psasir.upm.edu.my/id/eprint/15892/ http://psasir.upm.edu.my/id/eprint/15892/1/On%20certain%20classes%20of%20p.pdf |