Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator
The present investigation focus on applying the theories of differential subordination, differential superordination and related sandwich-type results for the study of some subclasses of symmetric functions connected through a linear extended multiplier operator, which was previously defined by invo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231428?viewType=HTML |
| _version_ | 1797644881295835136 |
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| author | Ekram E. Ali Georgia Irina Oros Abeer M. Albalahi |
| author_facet | Ekram E. Ali Georgia Irina Oros Abeer M. Albalahi |
| author_sort | Ekram E. Ali |
| collection | DOAJ |
| description | The present investigation focus on applying the theories of differential subordination, differential superordination and related sandwich-type results for the study of some subclasses of symmetric functions connected through a linear extended multiplier operator, which was previously defined by involving the $ q $-Choi-Saigo-Srivastava operator. The aim of the paper is to define a new class of analytic functions using the aforementioned linear extended multiplier operator and to obtain sharp differential subordinations and superordinations using functions from the new class. Certain subclasses are highlighted by specializing the parameters involved in the class definition, and corollaries are obtained as implementations of those new results using particular values for the parameters of the new subclasses. In order to show how the results apply to the functions from the recently introduced subclasses, numerical examples are also provided. |
| first_indexed | 2024-03-11T14:37:49Z |
| format | Article |
| id | doaj.art-32fdf1a1caca492f90f2e78755de45a8 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T14:37:49Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-32fdf1a1caca492f90f2e78755de45a82023-10-31T01:24:27ZengAIMS PressAIMS Mathematics2473-69882023-10-01811279242794610.3934/math.20231428Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operatorEkram E. Ali 0Georgia Irina Oros1Abeer M. Albalahi 21. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia 2. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said 42521, Egypt3. Department of Mathematics and Computer Science, University of Oradea, Universitatii 1, 410087 Oradea, Romania1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi ArabiaThe present investigation focus on applying the theories of differential subordination, differential superordination and related sandwich-type results for the study of some subclasses of symmetric functions connected through a linear extended multiplier operator, which was previously defined by involving the $ q $-Choi-Saigo-Srivastava operator. The aim of the paper is to define a new class of analytic functions using the aforementioned linear extended multiplier operator and to obtain sharp differential subordinations and superordinations using functions from the new class. Certain subclasses are highlighted by specializing the parameters involved in the class definition, and corollaries are obtained as implementations of those new results using particular values for the parameters of the new subclasses. In order to show how the results apply to the functions from the recently introduced subclasses, numerical examples are also provided.https://www.aimspress.com/article/doi/10.3934/math.20231428?viewType=HTML$ q $-analogue of choi-saigo-srivastava operatorsymmetric functionhadamard (convolution) productdifferential subordinationdifferential superordinationsandwich-type result |
| spellingShingle | Ekram E. Ali Georgia Irina Oros Abeer M. Albalahi Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator AIMS Mathematics $ q $-analogue of choi-saigo-srivastava operator symmetric function hadamard (convolution) product differential subordination differential superordination sandwich-type result |
| title | Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator |
| title_full | Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator |
| title_fullStr | Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator |
| title_full_unstemmed | Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator |
| title_short | Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator |
| title_sort | differential subordination and superordination studies involving symmetric functions using a q analogue multiplier operator |
| topic | $ q $-analogue of choi-saigo-srivastava operator symmetric function hadamard (convolution) product differential subordination differential superordination sandwich-type result |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231428?viewType=HTML |
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