Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function

This present work provides the initial co-efficient bounds of the function f ( z ) which is defined in open unit disk D . We introduced bi-univalent class C Σ ( λ , t , ν ) . Making use of Horadam polynomials h n ( ν ) and the generating function Π ( ν , z ) , we estimated the bounds of a 2 and a 3...

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Veröffentlicht in:Scientific reports 2023-09, Vol.13 (1), p.14436-14436, Article 14436
Hauptverfasser: Priya, H., Sruthakeerthi, B.
Format: Artikel
Sprache:eng
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Zusammenfassung:This present work provides the initial co-efficient bounds of the function f ( z ) which is defined in open unit disk D . We introduced bi-univalent class C Σ ( λ , t , ν ) . Making use of Horadam polynomials h n ( ν ) and the generating function Π ( ν , z ) , we estimated the bounds of a 2 and a 3 for the given function to be in the defined class. Moreover Fekete-Szego inequalities are calculated. In addition to all the results obtained mathematically, we provide application for Horadam polynomial in computer vision.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-023-41734-w