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2011 Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function
G. Murugusundaramoorthy, K. Uma, M. Darus
Abstr. Appl. Anal. 2011: 1-9 (2011). DOI: 10.1155/2011/849250

Abstract

Let f n ( z ) = z + k = 2 n a k z k be the sequence of partial sums of the analytic function f ( z ) = z + k = 2 a k z k . In this paper, we determine sharp lower bounds for { f ( z ) / f n ( z ) } , { f n ( z ) / f ( z ) } , { f ( z ) / f n ( z ) } , and { f n ( z ) / f ( z ) } . The usefulness of the main result not only provides the unification of the results discussed in the literature but also generates certain new results.

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G. Murugusundaramoorthy. K. Uma. M. Darus. "Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function." Abstr. Appl. Anal. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/849250

Information

Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1220.30025
MathSciNet: MR2802826
Digital Object Identifier: 10.1155/2011/849250

Rights: Copyright © 2011 Hindawi

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