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Certain inequalities related with Hankel and Toeplitz determinant for q-starlike functions
- Source :
- Heliyon, Vol 10, Iss 10, Pp e31270- (2024)
- Publication Year :
- 2024
- Publisher :
- Elsevier, 2024.
-
Abstract
- In the present article, we prove the sharp upper bounds for the second order Hankel determinants |H2(1)|,|H2(2)| and related functionals |a2a3−a4|, |a2a5−a3a4| for q-starlike functions. An upper bound for the third order Hankel determinant |H3(1)| along with the sharp upper bounds for Toeplitz determinant |Tm(n)|, where (m,n)∈{(2,2),(2,3),(3,1),(3,2)} are attained. Many known results are also obtained as corollaries of our main results.
Details
- Language :
- English
- ISSN :
- 24058440
- Volume :
- 10
- Issue :
- 10
- Database :
- Directory of Open Access Journals
- Journal :
- Heliyon
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f72fe6f12ddf4450b68e2c513cd5bf45
- Document Type :
- article
- Full Text :
- https://doi.org/10.1016/j.heliyon.2024.e31270