Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.13311 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909227815010304 |
|---|---|
| author | Dash, Prachi Prajna Prajapat, Jugal Kishore |
| author_facet | Dash, Prachi Prajna Prajapat, Jugal Kishore |
| contents | In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some characteristic properties, including radius properties, convolution, coefficient estimates and their properties, growth estimates, and convex combination for the functions in the defined subclass. At last, we produce conditions for some special functions as well as harmonic univalent polynomials to belong to the defined subclass of harmonic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13311 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certain subclass of harmonic functions associated with univalent functions Dash, Prachi Prajna Prajapat, Jugal Kishore Complex Variables 30C45, 30C50 In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some characteristic properties, including radius properties, convolution, coefficient estimates and their properties, growth estimates, and convex combination for the functions in the defined subclass. At last, we produce conditions for some special functions as well as harmonic univalent polynomials to belong to the defined subclass of harmonic functions. |
| title | Certain subclass of harmonic functions associated with univalent functions |
| topic | Complex Variables 30C45, 30C50 |
| url | https://arxiv.org/abs/2406.13311 |