| Title:
|
Certain subclass of alpha-convex bi-univalent functions defined using $q$-derivative operator (English) |
| Author:
|
Singh, Gagandeep |
| Author:
|
Singh, Gurcharanjit |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
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61 |
| Issue:
|
2 |
| Year:
|
2025 |
| Pages:
|
63-72 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The present investigation deals with a new subclass of alpha-convex bi-univalent functions in the unit disc $E=\left\rbrace z\colon \mid z \mid <1\right\lbrace $ defined with $q$-derivative operator. Bounds for the first two coefficients and Fekete-Szegö inequality are established for this class. Many known results follow as consequences of the results derived here. (English) |
| Keyword:
|
analytic functions |
| Keyword:
|
bi-univalent functions |
| Keyword:
|
alpha-convex functions |
| Keyword:
|
coefficient bounds |
| Keyword:
|
Fekete-Szegö inequality |
| Keyword:
|
$q$-derivative |
| Keyword:
|
subordination |
| MSC:
|
30C45 |
| MSC:
|
30C50 |
| DOI:
|
10.5817/AM2025-2-63 |
| . |
| Date available:
|
2025-07-01T07:29:17Z |
| Last updated:
|
2025-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153017 |
| . |
| Reference:
|
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