Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator
The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on $ \mathfrak{q} $-calculus operators. We defined the $ \mathfrak{q} $-analogue of multiplier- Ruscheweyh operator of a certain family o...
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AIMS Press
2024-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024330?viewType=HTML |
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| author | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi R. Sidaoui Abdelkader Moumen |
| author_facet | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi R. Sidaoui Abdelkader Moumen |
| author_sort | Ekram E. Ali |
| collection | DOAJ |
| description | The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on $ \mathfrak{q} $-calculus operators. We defined the $ \mathfrak{q} $-analogue of multiplier- Ruscheweyh operator of a certain family of linear operators $ I_{\mathfrak{q}, \mu }^{s}(\lambda, \ell) \mathfrak{f}(\varsigma) \; (s\in \mathbb{N}_{0} = \mathbb{N}\cup \{0\}, \mathbb{ N} = \left\{ 1, 2, 3, ..\right\}; \ell, \lambda, \mu \geq 0, 0 < \mathfrak{q} < 1) $. Our major goal was to build some analytic function subclasses using $ I_{ \mathfrak{q}, \mu }^{s}(\lambda, \ell)\mathfrak{f}(\varsigma) $ and to look into various inclusion relationships that have integral preservation features.
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| first_indexed | 2024-03-07T21:29:25Z |
| format | Article |
| id | doaj.art-1762684965194077bcecd35badc7fbe5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-07T21:29:25Z |
| publishDate | 2024-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1762684965194077bcecd35badc7fbe52024-02-27T01:30:02ZengAIMS PressAIMS Mathematics2473-69882024-02-01936772678310.3934/math.2024330Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operatorEkram E. Ali 0Rabha M. El-Ashwah1Abeer M. Albalahi2R. Sidaoui3Abdelkader Moumen41. 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, Faculty of Science, Damietta University, New Damietta 34517, Egypt1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi Arabia1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 81451, Saudi ArabiaThe results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on $ \mathfrak{q} $-calculus operators. We defined the $ \mathfrak{q} $-analogue of multiplier- Ruscheweyh operator of a certain family of linear operators $ I_{\mathfrak{q}, \mu }^{s}(\lambda, \ell) \mathfrak{f}(\varsigma) \; (s\in \mathbb{N}_{0} = \mathbb{N}\cup \{0\}, \mathbb{ N} = \left\{ 1, 2, 3, ..\right\}; \ell, \lambda, \mu \geq 0, 0 < \mathfrak{q} < 1) $. Our major goal was to build some analytic function subclasses using $ I_{ \mathfrak{q}, \mu }^{s}(\lambda, \ell)\mathfrak{f}(\varsigma) $ and to look into various inclusion relationships that have integral preservation features. https://www.aimspress.com/article/doi/10.3934/math.2024330?viewType=HTMLanalytic function$ \mathfrak{q} $-difference operator$ \mathfrak{q} $-analogue catas operator$ \mathfrak{q} $-analogue of ruscheweyh operator |
| spellingShingle | Ekram E. Ali Rabha M. El-Ashwah Abeer M. Albalahi R. Sidaoui Abdelkader Moumen Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator AIMS Mathematics analytic function $ \mathfrak{q} $-difference operator $ \mathfrak{q} $-analogue catas operator $ \mathfrak{q} $-analogue of ruscheweyh operator |
| title | Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator |
| title_full | Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator |
| title_fullStr | Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator |
| title_full_unstemmed | Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator |
| title_short | Inclusion properties for analytic functions of q-analogue multiplier-Ruscheweyh operator |
| title_sort | inclusion properties for analytic functions of q analogue multiplier ruscheweyh operator |
| topic | analytic function $ \mathfrak{q} $-difference operator $ \mathfrak{q} $-analogue catas operator $ \mathfrak{q} $-analogue of ruscheweyh operator |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024330?viewType=HTML |
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