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 alpha-UCSPT(q,phi,delta) and alpha-SPpT(q,phi,delta). The coefficient inequalities, rotational invariance, and containment results are proved for these classes. Further, by introducing a parameter beta, tw...
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Main Authors: | , , , |
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Format: | Article |
Published: |
Mathematical Problems in Engineering
2022
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Subjects: | |
Online Access: | http://eprints.um.edu.my/41199/ |
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Summary: | In this study, the idea of q-calculus is applied to define new classes of spirallike functions alpha-UCSPT(q,phi,delta) and alpha-SPpT(q,phi,delta). The coefficient inequalities, rotational invariance, and containment results are proved for these classes. Further, by introducing a parameter beta, two more subclasses are defined and their properties are investigated. Finally, we have probed into these classes by fixing finitely several coefficients. |
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