A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions

A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions

In this study, the idea of q-calculus is applied to define new classes of spirallike functions α−UCSPTq,ϕ,δ and α−SPpTq,ϕ,δ. The coefficient inequalities, rotational invariance, and containment results are proved for these classes. Further, by introducing a parameter β, two more subclasses are defin...

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Veröffentlicht in:Mathematical problems in engineering 2022-08, Vol.2022, p.1-7
Hauptverfasser: Balachandar, Geetha, Kaabar, Mohammed K. A., Kenneth, Charles Robert, Yenoke, Kins
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus
Convex analysis
Mathematical problems
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Zusammenfassung:In this study, the idea of q-calculus is applied to define new classes of spirallike functions α−UCSPTq,ϕ,δ and α−SPpTq,ϕ,δ. The coefficient inequalities, rotational invariance, and containment results are proved for these classes. Further, by introducing a parameter β, two more subclasses are defined and their properties are investigated. Finally, we have probed into these classes by fixing finitely several coefficients.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/5361581