| Title:
|
Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials (English) |
| Author:
|
Panigrahi, Trailokya |
| Author:
|
Pattnayak, Eureka |
| Author:
|
El-Ashwah, Rabha Mohamed |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0011-4642 |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
151 |
| Issue:
|
1 |
| Year:
|
2026 |
| Pages:
|
153-167 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta :=\{z \in \mathbb {C}\colon |z|<1\}$ by making use of subordination between two analytic functions and also using the Gegenbauer polynomials. We investigate bounds of some of the initial Taylor-Maclaurin coefficients belonging to this newly constructed holomorphic and bi-univalent function class. Moreover, we derive the well-known Fekete-Szegö functional for the above said classes. Some of the corollaries of the main results are pointed out. (English) |
| Keyword:
|
analytic function |
| Keyword:
|
bi-univalent function |
| Keyword:
|
subordination |
| Keyword:
|
Fekete-Szegö functional |
| Keyword:
|
Gegenbauer polynomial |
| MSC:
|
30C45 |
| MSC:
|
30C50 |
| MSC:
|
30C80 |
| DOI:
|
10.21136/MB.2025.0149-24 |
| . |
| Date available:
|
2026-02-19T14:42:28Z |
| Last updated:
|
2026-02-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153390 |
| . |
| Reference:
|
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| Reference:
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