A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator
In our present investigation, we use the technique of convolution and quantum calculus to study the Salagean <i>q</i>-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions. Some properties of these clas...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/5/458 |
| _version_ | 1818599683714449408 |
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| author | Muhammad Naeem Saqib Hussain Tahir Mahmood Shahid Khan Maslina Darus |
| author_facet | Muhammad Naeem Saqib Hussain Tahir Mahmood Shahid Khan Maslina Darus |
| author_sort | Muhammad Naeem |
| collection | DOAJ |
| description | In our present investigation, we use the technique of convolution and quantum calculus to study the Salagean <i>q</i>-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions. Some properties of these classes are discussed, and numerous sharp results such as coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, and integral mean inequalities of functions belonging to these classes are obtained and studied. |
| first_indexed | 2024-12-16T12:23:30Z |
| format | Article |
| id | doaj.art-682f46126f8e439192039b26423af361 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-16T12:23:30Z |
| publishDate | 2019-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-682f46126f8e439192039b26423af3612022-12-21T22:31:53ZengMDPI AGMathematics2227-73902019-05-017545810.3390/math7050458math7050458A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential OperatorMuhammad Naeem0Saqib Hussain1Tahir Mahmood2Shahid Khan3Maslina Darus4Department of Mathematics and Statistics, International Islamic University, 44000 Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060 Abbottabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, 44000 Islamabad, PakistanDepartment of Mathematics, Riphah International University, 44000 Islamabad, PakistanSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Selangor, MalaysiaIn our present investigation, we use the technique of convolution and quantum calculus to study the Salagean <i>q</i>-differential operator. By using this operator and the concept of the Janowski function, we define certain new classes of analytic functions. Some properties of these classes are discussed, and numerous sharp results such as coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, and integral mean inequalities of functions belonging to these classes are obtained and studied.https://www.mdpi.com/2227-7390/7/5/458analytic functionssubordinationSalagean q-differential operator |
| spellingShingle | Muhammad Naeem Saqib Hussain Tahir Mahmood Shahid Khan Maslina Darus A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator Mathematics analytic functions subordination Salagean q-differential operator |
| title | A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator |
| title_full | A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator |
| title_fullStr | A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator |
| title_full_unstemmed | A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator |
| title_short | A New Subclass of Analytic Functions Defined by Using Salagean <i>q</i>-Differential Operator |
| title_sort | new subclass of analytic functions defined by using salagean i q i differential operator |
| topic | analytic functions subordination Salagean q-differential operator |
| url | https://www.mdpi.com/2227-7390/7/5/458 |
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