2 citations · 3 across the 4 of their papers we have counts for
5 papers
Convolution properties of univalent harmonic mappings convex in one direction
Raj Kumar, Sushma Gupta, Sukhjit Singh
Let and denote the convolution of two analytic maps and that of an analytic map and a harmonic map respectively. Pokhrel [1] proved that if $f = h+\overl…
On harmonic convolutions involving a vertical strip mapping
Raj Kumar, Sushma Gupta, Sukhjit Singh +1
Let f_β= h_β+\bar{g}_βand F_a = H_a +\bar{G}_a be harmonic mappings obtained by shearing of analytic mappings h_β+g_β= 1/(2i\sinβ)log((1 + ze^{iβ})/(1 + ze^{-iβ})), 0<β<πand H_a+G_…
An application of Cohn's rule to convolutions of univalent harmonic mappings
Raj Kumar, Sushma Gupta, Sukhjit Singh +1
Dorff et al. [4], proved that the harmonic convolution of right half-plane mapping with dilatation -z and mapping f_β= h_β+ \bar{g}_β, where f_βis obtained by shearing of analytic…
Linear combinations of univalent harmonic mappings convex in the direction of the imaginary axis
Raj Kumar, Sushma Gupta, Sukhjit Singh
In the present paper, we introduce a family of univalent harmonic functions, which map the unit disk onto domains convex in the direction of the imaginary axis. We find conditions…
Convolution properties of some harmonic mappings in the right-half plane
Raj Kumar, Michael Dorff, Sushma Gupta +1
Dorff, proved in [2] that the convolution of two harmonic right-half plane mappings is convex in the direction of real axis provided that the convolution is locally univalent and s…