Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator
An analytic function, also known as a holomorphic function, is a complex-valued function that is differentiable at every point within a given domain. In other words, a function f (z) is analytic in a domain U if it has a derivative f ′ (z) at every point z in U. Let A represent the set of functions...
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| Format: | Article |
| Language: | English English |
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Magister Program of Material Science, Graduate School of Universitas Sriwijaya
2023
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| Online Access: | https://eprints.ums.edu.my/id/eprint/39168/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/39168/2/FULL%20TEXT.pdf |
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| author | Nurdiana Binti Nurali Aini Janteng |
| author_facet | Nurdiana Binti Nurali Aini Janteng |
| author_sort | Nurdiana Binti Nurali |
| collection | UMS |
| description | An analytic function, also known as a holomorphic function, is a complex-valued function that is differentiable at every point within a given domain. In other words, a function f (z) is analytic in a domain U if it has a derivative f ′ (z) at every point z in U. Let A represent the set of functions f that are analytic within the open unit disk D = {z ∈ ℂ : |z| < 1}. These functions possess a normalized Taylor-Maclaurin series expansion written in the form f (z) = z + Í∞ n=2 an z n where an ∈ ℂ, n = 2, 3, . . .. In recent years, the field of q-calculus has gained significant attention and research interest among mathematicians. The applications of this field are broadly applied in numerous subdivisions of physics and mathematics. In this research, we assume that S ∗ q and ℝq are subclasses of analytic functions obtained by applying the q-derivative operator. The objective of this paper is to obtain estimates for coefficient inequalities and Toeplitz determinants whose elements are the coefficients an for f ∈ S ∗ q and f ∈ Rq . |
| first_indexed | 2024-09-24T00:50:21Z |
| format | Article |
| id | ums.eprints-39168 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-09-24T00:50:21Z |
| publishDate | 2023 |
| publisher | Magister Program of Material Science, Graduate School of Universitas Sriwijaya |
| record_format | dspace |
| spelling | ums.eprints-391682024-07-15T03:57:53Z https://eprints.ums.edu.my/id/eprint/39168/ Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator Nurdiana Binti Nurali Aini Janteng QA1-939 Mathematics QA299.6-433 Analysis An analytic function, also known as a holomorphic function, is a complex-valued function that is differentiable at every point within a given domain. In other words, a function f (z) is analytic in a domain U if it has a derivative f ′ (z) at every point z in U. Let A represent the set of functions f that are analytic within the open unit disk D = {z ∈ ℂ : |z| < 1}. These functions possess a normalized Taylor-Maclaurin series expansion written in the form f (z) = z + Í∞ n=2 an z n where an ∈ ℂ, n = 2, 3, . . .. In recent years, the field of q-calculus has gained significant attention and research interest among mathematicians. The applications of this field are broadly applied in numerous subdivisions of physics and mathematics. In this research, we assume that S ∗ q and ℝq are subclasses of analytic functions obtained by applying the q-derivative operator. The objective of this paper is to obtain estimates for coefficient inequalities and Toeplitz determinants whose elements are the coefficients an for f ∈ S ∗ q and f ∈ Rq . Magister Program of Material Science, Graduate School of Universitas Sriwijaya 2023 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/39168/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/39168/2/FULL%20TEXT.pdf Nurdiana Binti Nurali and Aini Janteng (2023) Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator. Science and Technology Indonesia, 9 (2). pp. 1-5. ISSN 2580-4405 https://doi.org/10.26554/sti.2024.9.2.354-358 |
| spellingShingle | QA1-939 Mathematics QA299.6-433 Analysis Nurdiana Binti Nurali Aini Janteng Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title | Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title_full | Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title_fullStr | Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title_full_unstemmed | Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title_short | Results on toeplitz determinants for subclasses of analytic functions associated to q-derivative operator |
| title_sort | results on toeplitz determinants for subclasses of analytic functions associated to q derivative operator |
| topic | QA1-939 Mathematics QA299.6-433 Analysis |
| url | https://eprints.ums.edu.my/id/eprint/39168/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/39168/2/FULL%20TEXT.pdf |
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