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On the geometric properties of the Bessel-Struve kernel function

Published 29 Jan 2016 in math.CV | (1601.08102v1)

Abstract: This paper introduce the Bessel-Struve kernel functions $\mathcal{B}\nu$ defined on the unit disk in the complex plane. We studies the close-to-convexity of $\mathcal{B}\nu$ with respect to several starlike functions. Sufficient condition on $\nu$ for which the function $z\mathcal{B}_\nu$ is starlike is given.

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