Academic Journal
On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator.
| Τίτλος: | On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator. |
|---|---|
| Συγγραφείς: | Fadipe-Joseph, Olubunmi A., Oluwaseyi, Olanike R., Opaleye, E. O., Ezeafulukwe, Uzoamaka A., Akeroyd, John R. |
| Πηγή: | Journal of Function Spaces; 8/7/2025, Vol. 2025, p1-13, 13p |
| Θεματικοί όροι: | Geometric function theory, Analytic functions, Differential operators, Hankel functions, Toeplitz matrices, Univalent functions, Logistic functions (Mathematics) |
| Περίληψη: | Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions. In particular, the sigmoid function in relation to GFT is being investigated. However, the connection between the modified sigmoid function and the β ‐ Catas differential operator is yet to be studied. In this paper, a new class of analytic function is defined using the Sigmoid β− Catas operator. The corresponding coefficient bounds, Fekete–Szego functional, and second order and third order Hankel determinants were determined by the principle of subordination. Furthermore, the second order and third order Toeplitz determinants for this class were also obtained. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Function Spaces is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Links: – Type: other Text: Availability: 0 |
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| Header | DbId: edb DbLabel: Complementary Index An: 187237030 RelevancyScore: 1007 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1007.33685302734 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fadipe-Joseph%2C+Olubunmi+A%2E%22">Fadipe-Joseph, Olubunmi A.</searchLink><br /><searchLink fieldCode="AR" term="%22Oluwaseyi%2C+Olanike+R%2E%22">Oluwaseyi, Olanike R.</searchLink><br /><searchLink fieldCode="AR" term="%22Opaleye%2C+E%2E+O%2E%22">Opaleye, E. O.</searchLink><br /><searchLink fieldCode="AR" term="%22Ezeafulukwe%2C+Uzoamaka+A%2E%22">Ezeafulukwe, Uzoamaka A.</searchLink><br /><searchLink fieldCode="AR" term="%22Akeroyd%2C+John+R%2E%22">Akeroyd, John R.</searchLink> – Name: TitleSource Label: Source Group: Src Data: Journal of Function Spaces; 8/7/2025, Vol. 2025, p1-13, 13p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Geometric+function+theory%22">Geometric function theory</searchLink><br /><searchLink fieldCode="DE" term="%22Analytic+functions%22">Analytic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Hankel+functions%22">Hankel functions</searchLink><br /><searchLink fieldCode="DE" term="%22Toeplitz+matrices%22">Toeplitz matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Univalent+functions%22">Univalent functions</searchLink><br /><searchLink fieldCode="DE" term="%22Logistic+functions+%28Mathematics%29%22">Logistic functions (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Geometric function theory (GFT) is the study of geometric properties of analytic functions. The cornerstone of GFT is the theory of univalent functions. Several related topics in GFT with various applications have been developed over the years, one of which includes the study of special functions. In particular, the sigmoid function in relation to GFT is being investigated. However, the connection between the modified sigmoid function and the β ‐ Catas differential operator is yet to be studied. In this paper, a new class of analytic function is defined using the Sigmoid β− Catas operator. The corresponding coefficient bounds, Fekete–Szego functional, and second order and third order Hankel determinants were determined by the principle of subordination. Furthermore, the second order and third order Toeplitz determinants for this class were also obtained. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Journal of Function Spaces is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jofs/5667709 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1 Subjects: – SubjectFull: Geometric function theory Type: general – SubjectFull: Analytic functions Type: general – SubjectFull: Differential operators Type: general – SubjectFull: Hankel functions Type: general – SubjectFull: Toeplitz matrices Type: general – SubjectFull: Univalent functions Type: general – SubjectFull: Logistic functions (Mathematics) Type: general Titles: – TitleFull: On the Determinants for a Class of Analytic Function Using Sigmoid Beta‐Catas Operator. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fadipe-Joseph, Olubunmi A. – PersonEntity: Name: NameFull: Oluwaseyi, Olanike R. – PersonEntity: Name: NameFull: Opaleye, E. O. – PersonEntity: Name: NameFull: Ezeafulukwe, Uzoamaka A. – PersonEntity: Name: NameFull: Akeroyd, John R. IsPartOfRelationships: – BibEntity: Dates: – D: 08 M: 08 Text: 8/7/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 23148896 Numbering: – Type: volume Value: 2025 Titles: – TitleFull: Journal of Function Spaces Type: main |
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