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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/275935 |
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| author | Abdolreza Tehranchi Adem Kılıçman |
| author_facet | Abdolreza Tehranchi Adem Kılıçman |
| author_sort | Abdolreza Tehranchi |
| collection | DOAJ |
| 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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties. |
| format | Article |
| id | doaj-art-81764c594a8349989abf1866283bf147 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-81764c594a8349989abf1866283bf1472025-02-03T06:01:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/275935275935On Certain Classes of p-Valent Functions by Using Complex-Order and Differential SubordinationAbdolreza Tehranchi0Adem Kılıçman1Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, IranDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), Serdang, Selangor 43400, MalaysiaThe 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,λ)f(z))(j+1)/(p-j)(Ip(r,λ)f(z))(j)≺(a+(aB+(A-B)β)z)/a(1+Bz), where Ip(r,λ) is an operator defined by Sălăgean and β is a complex number. Further we define a new related integral operator and also study the Fekete-Szego problem by proving some interesting properties.http://dx.doi.org/10.1155/2010/275935 |
| spellingShingle | Abdolreza Tehranchi Adem Kılıçman On Certain Classes of p-Valent Functions by Using Complex-Order and Differential Subordination International Journal of Mathematics and Mathematical Sciences |
| 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://dx.doi.org/10.1155/2010/275935 |
| work_keys_str_mv | AT abdolrezatehranchi oncertainclassesofpvalentfunctionsbyusingcomplexorderanddifferentialsubordination AT ademkılıcman oncertainclassesofpvalentfunctionsbyusingcomplexorderanddifferentialsubordination |