Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function
Hermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists regarding estimating second and third Hankel...
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| Format: | Article |
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University of Maragheh
2025-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_719347_8c7f7fd720462c5f45a1d08d5d93abdf.pdf |
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| author | Sangarambadi Padmanabhan Vijayalakshmi Sibel Yalçın Tirumalai Sudharsan |
| author_facet | Sangarambadi Padmanabhan Vijayalakshmi Sibel Yalçın Tirumalai Sudharsan |
| author_sort | Sangarambadi Padmanabhan Vijayalakshmi |
| collection | DOAJ |
| description | Hermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists regarding estimating second and third Hankel determinants for normalized analytic functions within this domain. The current research seeks to establish precise upper and lower bounds for the second and third-order Hermitian Toeplitz determinants associated with specific novel subclasses of Sakaguchi-type functions, $S_s^*(\sin z), S_c^*(\sin z)$ and $S_p^q(\sin z)$ related to the sine function. Further, the sharp estimates of Zalcman functional $|a_{n+m-1}-a_na_m| $ for $n=2$ and $n=2$, $m=3$ are considered. |
| format | Article |
| id | doaj-art-8259febc14b340a183c6762f645bcdb7 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-8259febc14b340a183c6762f645bcdb72025-02-11T05:28:01ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002025-01-0122117519110.22130/scma.2024.2030027.1737719347Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine FunctionSangarambadi Padmanabhan Vijayalakshmi0Sibel Yalçın1Tirumalai Sudharsan2Department of Mathematics, Dwaraka Doss Goverdhan Doss Vaishnav College, Chennai, India.Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa, TÜRKİYE.Department of Mathematics, S.I.V.E.T College, Gowrivakkam, Chennai, India.Hermitian Toeplitz determinants are utilized across various fields, such as functional analysis, applied mathematics, physics, and technical sciences. This paper establishes a link with specific subclasses of analytic functions. Extensive research exists regarding estimating second and third Hankel determinants for normalized analytic functions within this domain. The current research seeks to establish precise upper and lower bounds for the second and third-order Hermitian Toeplitz determinants associated with specific novel subclasses of Sakaguchi-type functions, $S_s^*(\sin z), S_c^*(\sin z)$ and $S_p^q(\sin z)$ related to the sine function. Further, the sharp estimates of Zalcman functional $|a_{n+m-1}-a_na_m| $ for $n=2$ and $n=2$, $m=3$ are considered.https://scma.maragheh.ac.ir/article_719347_8c7f7fd720462c5f45a1d08d5d93abdf.pdfsakaguchi functionshermitian toeplitzsine functionstarlike functions |
| spellingShingle | Sangarambadi Padmanabhan Vijayalakshmi Sibel Yalçın Tirumalai Sudharsan Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function Sahand Communications in Mathematical Analysis sakaguchi functions hermitian toeplitz sine function starlike functions |
| title | Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function |
| title_full | Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function |
| title_fullStr | Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function |
| title_full_unstemmed | Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function |
| title_short | Sharp Estimates of Hermitian Toeplitz Determinants for Some Subclasses of Sakaguchi Type Function Related to Sine Function |
| title_sort | sharp estimates of hermitian toeplitz determinants for some subclasses of sakaguchi type function related to sine function |
| topic | sakaguchi functions hermitian toeplitz sine function starlike functions |
| url | https://scma.maragheh.ac.ir/article_719347_8c7f7fd720462c5f45a1d08d5d93abdf.pdf |
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