What question did this study set out to answer?

The aim is to compute the h-functions for certain planar simply connected regions and analyze their derivatives at specific values of r.

Computing h-functions of Some Planar Simply Connected Two-dimensional Regions

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Computes h-functions for planar regions, analyzing their behavior and asymptotics.

The aim is to compute the h-functions for certain planar simply connected regions and analyze their derivatives at specific values of r.
Computed h-functions for selected planar simply connected regions.
Investigated asymptotic behavior of h-functions at particular distances from the fixed point.
Analyzed derivatives of h(r) where two regimes converge.
Specific h-functions were derived for various planar regions.
Detailed asymptotic behavior revealed at critical values of r.
Findings include the precise behavior of derivatives at transition points.

Arunmaran Mahenthiram (2023) studied this question.

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