This article is cited in 6 papers

A note on a class of $p$-valent starlike functions of order $\beta$

S. K. Sahoo, N. L. Sharma

Indian Institute of Technology Indore, Indore, India

Abstract: We obtain sharp coefficient bounds for some $p$-valent starlike functions of order $\beta$, $0\le\beta<p$. Initially this problem was handled by Aouf in [1]. We pointed out that the proof by Aouf is incorrect and present a correct proof.

Keywords: $p$-valent analytic functions, starlike functions, differential subordination.

UDC: 517.546

Received: 23.07.2014

DOI: 10.17377/smzh.2016.57.218

 English version: Siberian Mathematical Journal, 2016, 57:2, 364–368

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