Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative
In this paper, the Jackson <i>q</i>-derivative is used to investigate two classes of analytic functions in the open unit disc. The coefficient conditions and inclusion properties of the functions in these classes are established by convolution methods.
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/1/105 |
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| author | Abdel Moneim Y. Lashin Badriah Maeed Algethami Abeer O. Badghaish |
| author_facet | Abdel Moneim Y. Lashin Badriah Maeed Algethami Abeer O. Badghaish |
| author_sort | Abdel Moneim Y. Lashin |
| collection | DOAJ |
| description | In this paper, the Jackson <i>q</i>-derivative is used to investigate two classes of analytic functions in the open unit disc. The coefficient conditions and inclusion properties of the functions in these classes are established by convolution methods. |
| first_indexed | 2024-03-10T03:31:41Z |
| format | Article |
| id | doaj.art-36af37c92b9a4b74bca997f6f043b752 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:31:41Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-36af37c92b9a4b74bca997f6f043b7522023-11-23T11:54:12ZengMDPI AGMathematics2227-73902021-12-0110110510.3390/math10010105Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-DerivativeAbdel Moneim Y. Lashin0Badriah Maeed Algethami1Abeer O. Badghaish2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, the Jackson <i>q</i>-derivative is used to investigate two classes of analytic functions in the open unit disc. The coefficient conditions and inclusion properties of the functions in these classes are established by convolution methods.https://www.mdpi.com/2227-7390/10/1/105analytic functionsconvolutionJackson <i>q</i>-derivative |
| spellingShingle | Abdel Moneim Y. Lashin Badriah Maeed Algethami Abeer O. Badghaish Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative Mathematics analytic functions convolution Jackson <i>q</i>-derivative |
| title | Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative |
| title_full | Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative |
| title_fullStr | Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative |
| title_full_unstemmed | Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative |
| title_short | Convolution Properties of Certain Classes of Analytic Functions Defined by Jackson <i>q</i>-Derivative |
| title_sort | convolution properties of certain classes of analytic functions defined by jackson i q i derivative |
| topic | analytic functions convolution Jackson <i>q</i>-derivative |
| url | https://www.mdpi.com/2227-7390/10/1/105 |
| work_keys_str_mv | AT abdelmoneimylashin convolutionpropertiesofcertainclassesofanalyticfunctionsdefinedbyjacksoniqiderivative AT badriahmaeedalgethami convolutionpropertiesofcertainclassesofanalyticfunctionsdefinedbyjacksoniqiderivative AT abeerobadghaish convolutionpropertiesofcertainclassesofanalyticfunctionsdefinedbyjacksoniqiderivative |