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A New Theoretical Investigation of the Generalized Formulations of Spirallike Functions

Geetha Balachandar, Mohammed K. A. Kaabar, Charles Robert Kenneth, Kins Yenoke and Abdellatif Ben Makhlouf

Mathematical Problems in Engineering, 2022, vol. 2022, 1-7

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5361581

DOI: 10.1155/2022/5361581

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