| Title:
|
Sharp bounds of the third Hankel determinant for classes of univalent functions with bounded turning (English) |
| Author:
|
Obradović, Milutin |
| Author:
|
Tuneski, Nikola |
| Author:
|
Zaprawa, Paweł |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
211-220 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We improve the bounds of the third order Hankel determinant for two classes of univalent functions with bounded turning. (English) |
| Keyword:
|
analytic function |
| Keyword:
|
univalent function |
| Keyword:
|
Hankel determinant |
| Keyword:
|
upper bound |
| Keyword:
|
bounded turning |
| MSC:
|
30C45 |
| MSC:
|
30C50 |
| idZBL:
|
Zbl 07547251 |
| idMR:
|
MR4407353 |
| DOI:
|
10.21136/MB.2021.0078-20 |
| . |
| Date available:
|
2022-04-14T13:42:35Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150329 |
| . |
| Reference:
|
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| Reference:
|
[2] Bansal, D., Maharana, S., Prajapat, J. K.: Third order Hankel determinant for certain univalent functions.J. Korean Math. Soc. 52 (2015), 1139-1148. Zbl 1328.30005, MR 3418550, 10.4134/JKMS.2015.52.6.1139 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[7] Janteng, A., Halim, S. A., Darus, M.: Coefficient inequality for a function whose derivative has a positive real part.JIPAM, J. Inequal. Pure Appl. Math. 7 (2006), Article ID 50, 5 pages. Zbl 1134.30310, MR 2221331 |
| Reference:
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| Reference:
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[9] Khatter, K., Ravichandran, V., Kumar, S. S.: Third Hankel determinant of starlike and convex functions.J. Anal. 28 (2020), 45-56. Zbl 1435.30049, MR 4077300, 10.1007/s41478-017-0037-6 |
| Reference:
|
[10] Kowalczyk, B., Lecko, A., Sim, Y. J.: The sharp bound of the Hankel determinant of the third kind for convex functions.Bull. Aust. Math. Soc. 97 (2018), 435-445. Zbl 1394.30007, MR 3802458, 10.1017/S0004972717001125 |
| Reference:
|
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| Reference:
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[12] Obradović, M., Tuneski, N.: Hankel determinant of second order for some classes of analytic functions.Available at https://arxiv.org/abs/1903.08069 (2019), 6 pages. MR 4392540 |
| Reference:
|
[13] Obradović, M., Tuneski, N.: New upper bounds of the third Hankel determinant for some classes of univalent functions.Available at https://arxiv.org/abs/1911.10770 (2020), 10 pages. MR 4198419 |
| Reference:
|
[14] Thomas, D. K., Tuneski, N., Vasudevarao, A.: Univalent Functions: A Primer.De Gruyter Studies in Mathematics 69. De Gruyter, Berlin (2018). Zbl 1397.30002, MR 3791816, 10.1515/9783110560961 |
| Reference:
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| . |
