A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus
This article introduces new subclasses of harmonic univalent functions associated with q-difference operator. Modified q-multiplier transformation is defined, and certain geometric properties such as the sufficient condition, distortion result, extreme points, and invariance of convex combination of...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5495011 |
| _version_ | 1798030823633453056 |
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| author | Shujaat Ali Shah Luminita-Ioana Cotirla Adriana Catas Calin Dubau Gabriel Cheregi |
| author_facet | Shujaat Ali Shah Luminita-Ioana Cotirla Adriana Catas Calin Dubau Gabriel Cheregi |
| author_sort | Shujaat Ali Shah |
| collection | DOAJ |
| description | This article introduces new subclasses of harmonic univalent functions associated with q-difference operator. Modified q-multiplier transformation is defined, and certain geometric properties such as the sufficient condition, distortion result, extreme points, and invariance of convex combination of the elements of the subclasses are discussed by employing the newly defined q-operator. Also, various well-known results already proved in the literature are pointed out. |
| first_indexed | 2024-04-11T19:46:29Z |
| format | Article |
| id | doaj.art-e38fbe04c4a64b1d9fa0663573a870ea |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T19:46:29Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-e38fbe04c4a64b1d9fa0663573a870ea2022-12-22T04:06:27ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5495011A Study of Spiral-Like Harmonic Functions Associated with Quantum CalculusShujaat Ali Shah0Luminita-Ioana Cotirla1Adriana Catas2Calin Dubau3Gabriel Cheregi4Department of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and Computer ScienceFaculty of Environmental ProtectionFaculty of Environmental ProtectionThis article introduces new subclasses of harmonic univalent functions associated with q-difference operator. Modified q-multiplier transformation is defined, and certain geometric properties such as the sufficient condition, distortion result, extreme points, and invariance of convex combination of the elements of the subclasses are discussed by employing the newly defined q-operator. Also, various well-known results already proved in the literature are pointed out.http://dx.doi.org/10.1155/2022/5495011 |
| spellingShingle | Shujaat Ali Shah Luminita-Ioana Cotirla Adriana Catas Calin Dubau Gabriel Cheregi A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus Journal of Function Spaces |
| title | A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus |
| title_full | A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus |
| title_fullStr | A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus |
| title_full_unstemmed | A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus |
| title_short | A Study of Spiral-Like Harmonic Functions Associated with Quantum Calculus |
| title_sort | study of spiral like harmonic functions associated with quantum calculus |
| url | http://dx.doi.org/10.1155/2022/5495011 |
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