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Partial Sum of Analytic Odd Function Defined by Salagean Differential Operator

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Published under licence by IOP Publishing Ltd
, , Citation M N M Pauzi et al 2019 J. Phys.: Conf. Ser. 1212 012001 DOI 10.1088/1742-6596/1212/1/012001

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Author e-mails

nazran@unisel.edu.my

maslina@ukm.edu.my

saibah@unisel.edu.my

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1 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia

2 Department of Science and Biotechnology, Faculty of Engineering and Life Sciences, Universiti Selangor, 45600 Bestari Jaya, Selangor Darul Ehsan, Malaysia

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1742-6596/1212/1/012001

Abstract

This paper is emphasizing on the new analytic odd function defined using Salagean differential operator H(m, z) in the open unit disc. The main objective is to study the ratio of the function H(m, z) to its sequence of partial sum. Also, to determine the sharp upper bound for Re {H(m, z)/Hn(m, z)}, Re {Hn(m, z)/H(m, z)}, Re {H'(m, z)/H'n(m, z)} and Re {H'n(m, z)/H'(m, z)}.

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10.1088/1742-6596/1212/1/012001