q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination
In this article, we introduce and investigate the q-analogue of a new subclass of harmonic univalent functions defined by subordination. We first obtain a coefficient characterization of these functions. We give compactness and extreme points, distortion bounds, necessary and sufficient convolution...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/4/708 |
| _version_ | 1797434260765802496 |
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| author | Hasan Bayram |
| author_facet | Hasan Bayram |
| author_sort | Hasan Bayram |
| collection | DOAJ |
| description | In this article, we introduce and investigate the q-analogue of a new subclass of harmonic univalent functions defined by subordination. We first obtain a coefficient characterization of these functions. We give compactness and extreme points, distortion bounds, necessary and sufficient convolution conditions for this subclass of harmonic univalent functions with negative coefficients. The symmetry properties and other properties of the q-analogue subclass of functions presented in this paper shed light on future studies. |
| first_indexed | 2024-03-09T10:28:43Z |
| format | Article |
| id | doaj.art-f7c59b68405245aaa2fd04e67996e8b3 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T10:28:43Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f7c59b68405245aaa2fd04e67996e8b32023-12-01T21:28:24ZengMDPI AGSymmetry2073-89942022-03-0114470810.3390/sym14040708q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with SubordinationHasan Bayram0Department of Mathematics, Faculty of Arts and Science, Bursa Uludağ University, Görükle, Bursa 16059, TurkeyIn this article, we introduce and investigate the q-analogue of a new subclass of harmonic univalent functions defined by subordination. We first obtain a coefficient characterization of these functions. We give compactness and extreme points, distortion bounds, necessary and sufficient convolution conditions for this subclass of harmonic univalent functions with negative coefficients. The symmetry properties and other properties of the q-analogue subclass of functions presented in this paper shed light on future studies.https://www.mdpi.com/2073-8994/14/4/708harmonic functionsunivalent functionsstar-like functionsq-analoguesubordination |
| spellingShingle | Hasan Bayram q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination Symmetry harmonic functions univalent functions star-like functions q-analogue subordination |
| title | q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination |
| title_full | q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination |
| title_fullStr | q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination |
| title_full_unstemmed | q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination |
| title_short | q-Analogue of a New Subclass of Harmonic Univalent Functions Associated with Subordination |
| title_sort | q analogue of a new subclass of harmonic univalent functions associated with subordination |
| topic | harmonic functions univalent functions star-like functions q-analogue subordination |
| url | https://www.mdpi.com/2073-8994/14/4/708 |
| work_keys_str_mv | AT hasanbayram qanalogueofanewsubclassofharmonicunivalentfunctionsassociatedwithsubordination |