On Harmonic Univalent Spirallike Mappings
Md Firoz Ali, Sushil Pandit
TL;DR
This paper establishes coefficient conditions and growth estimates for harmonic hereditarily spirallike mappings, connecting them to analytic spirallike mappings and providing illustrative examples.
Contribution
It introduces necessary and sufficient coefficient conditions for harmonic hereditarily spirallike mappings and links them to analytic spirallike mappings.
Findings
Coefficient conditions for harmonic hereditarily spirallike mappings
Growth estimates for these mappings
Examples illustrating the theoretical results
Abstract
In this article, we provide some necessary and sufficient coefficients conditions for a harmonic mapping to be hereditarily spirallike. Also, we give growth estimate for certain harmonic hereditarily spirallike mappings. Moreover, we connect the concept of harmonic hereditarily spirallike mapping to analytic spirallike mapping and provide some examples in support of our results.
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Taxonomy
TopicsAnalytic and geometric function theory · Meromorphic and Entire Functions · Differential Equations and Boundary Problems