Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions
A new generalised derivative operator μλ1,λ2n,m is introduced. This operator generalised many well-known operators studied earlier by many authors. Using the technique of differential subordination, we will study some of the properties of differential subordination. In addition we investigate severa...
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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/10.1155/2010/369078 |
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| _version_ | 1850169463854333952 |
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| author | Ma'moun Harayzeh Al-Abbadi Maslina Darus |
| author_facet | Ma'moun Harayzeh Al-Abbadi Maslina Darus |
| author_sort | Ma'moun Harayzeh Al-Abbadi |
| collection | DOAJ |
| description | A new generalised derivative operator μλ1,λ2n,m is introduced. This operator generalised many well-known operators studied earlier by many authors. Using the technique of differential subordination, we will study some of the properties of differential subordination. In addition we investigate several interesting properties of the new generalised derivative operator. |
| format | Article |
| id | doaj-art-a1fc4943aa3c40319a38f3bc782c52a9 |
| institution | OA Journals |
| 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-a1fc4943aa3c40319a38f3bc782c52a92025-08-20T02:20:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/369078369078Differential Subordination Defined by New Generalised Derivative Operator for Analytic FunctionsMa'moun Harayzeh Al-Abbadi0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor (Darul Ehsan), MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor (Darul Ehsan), MalaysiaA new generalised derivative operator μλ1,λ2n,m is introduced. This operator generalised many well-known operators studied earlier by many authors. Using the technique of differential subordination, we will study some of the properties of differential subordination. In addition we investigate several interesting properties of the new generalised derivative operator.http://dx.doi.org/10.1155/2010/369078 |
| spellingShingle | Ma'moun Harayzeh Al-Abbadi Maslina Darus Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions International Journal of Mathematics and Mathematical Sciences |
| title | Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions |
| title_full | Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions |
| title_fullStr | Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions |
| title_full_unstemmed | Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions |
| title_short | Differential Subordination Defined by New Generalised Derivative Operator for Analytic Functions |
| title_sort | differential subordination defined by new generalised derivative operator for analytic functions |
| url | http://dx.doi.org/10.1155/2010/369078 |
| work_keys_str_mv | AT mamounharayzehalabbadi differentialsubordinationdefinedbynewgeneralisedderivativeoperatorforanalyticfunctions AT maslinadarus differentialsubordinationdefinedbynewgeneralisedderivativeoperatorforanalyticfunctions |