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On the Pre-Schwarzian Norm and Starlikeness of Certain Logharmonic Mappings
Sushil Pandit
In this note, we consider certain logharmonic mappings in the unit disk Next, we obtain sharp bound of pre-Schwarzian norm of such logharmoni…
On Harmonic Univalent Spirallike Mappings
Md Firoz Ali, Sushil Pandit
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 ha…
On the pre-Schwarzian norm of certain Logharmonic mappings
Md Firoz Ali, Sushil Pandit
We connect the pre-Schwarzian norm of logharmonic mappings to the pre-Schwarzian norm of an analytic function and establish some necessary and sufficient conditions under which loc…
Pre-Schwarzian and Schwarzian norm estimates for harmonic functions with fixed analytic part
Md Firoz Ali, Sushil Pandit
In the present article, we discuss about the estimate of the pre-Schwarzian and Schwarzian norms for locally univalent harmonic functions in the unit disk $\math…