Back to Search
Start Over
Bounding coefficients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials.
- Source :
- AIMS Mathematics (2473-6988); 2024, Vol. 9 Issue 7, p18034-18047, 14p
- Publication Year :
- 2024
-
Abstract
- In this paper, we introduced two novel subclasses of bi-univalent functions, M<subscript>Σ</subscript>(α, B(x, ξ)) and H<subscript>Σ</subscript>(α, µ, B(x, ξ)), utilizing Lucas-Balancing polynomials. Within these function classes, we established bounds for the Taylor-Maclaurin coefficients |a<subscript>2</subscript>| and |a<subscript>3</subscript>|, addressing the Fekete-Szegö functional problems specific to functions within these new subclasses. Moreover, we illustrated how our primary findings could lead to various new outcomes through parameter specialization. [ABSTRACT FROM AUTHOR]
- Subjects :
- UNIVALENT functions
POLYNOMIALS
ANALYTIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- AIMS Mathematics (2473-6988)
- Publication Type :
- Academic Journal
- Accession number :
- 178167415
- Full Text :
- https://doi.org/10.3934/math.2024879