Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain
In this paper, we make use of the concept of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>−</mo></mrow></semantics></math></inline-formula>c...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/2/148 |
| _version_ | 1797620901690212352 |
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| author | Luminiţa-Ioana Cotîrlǎ Gangadharan Murugusundaramoorthy |
| author_facet | Luminiţa-Ioana Cotîrlǎ Gangadharan Murugusundaramoorthy |
| author_sort | Luminiţa-Ioana Cotîrlǎ |
| collection | DOAJ |
| description | In this paper, we make use of the concept of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>−</mo></mrow></semantics></math></inline-formula>calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete–Szegö functional. A similar results have been done for the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mo>℘</mo><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>.</mo></mrow></semantics></math></inline-formula> Further, for functions in newly defined class we determine coefficient estimates, distortion bounds, radius problems, results related to partial sums. |
| first_indexed | 2024-03-11T08:49:06Z |
| format | Article |
| id | doaj.art-a7ce1ac8d6d2450997c5b9d9fee56d53 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T08:49:06Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-a7ce1ac8d6d2450997c5b9d9fee56d532023-11-16T20:36:39ZengMDPI AGFractal and Fractional2504-31102023-02-017214810.3390/fractalfract7020148Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski DomainLuminiţa-Ioana Cotîrlǎ0Gangadharan Murugusundaramoorthy1Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, IndiaIn this paper, we make use of the concept of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>−</mo></mrow></semantics></math></inline-formula>calculus in the theory of univalent functions, to obtain the bounds for certain coefficient functional problems of Janowski type starlike functions and to find the Fekete–Szegö functional. A similar results have been done for the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mo>℘</mo><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>.</mo></mrow></semantics></math></inline-formula> Further, for functions in newly defined class we determine coefficient estimates, distortion bounds, radius problems, results related to partial sums.https://www.mdpi.com/2504-3110/7/2/148starlike functionsconvex functionssubordinationFekete–Szegö inequalityHadamard productanalytic functions |
| spellingShingle | Luminiţa-Ioana Cotîrlǎ Gangadharan Murugusundaramoorthy Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain Fractal and Fractional starlike functions convex functions subordination Fekete–Szegö inequality Hadamard product analytic functions |
| title | Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain |
| title_full | Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain |
| title_fullStr | Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain |
| title_full_unstemmed | Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain |
| title_short | Starlike Functions Based on Ruscheweyh <i>q</i>−Differential Operator defined in Janowski Domain |
| title_sort | starlike functions based on ruscheweyh i q i differential operator defined in janowski domain |
| topic | starlike functions convex functions subordination Fekete–Szegö inequality Hadamard product analytic functions |
| url | https://www.mdpi.com/2504-3110/7/2/148 |
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