Abstract and Applied Analysis

Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function

G. Murugusundaramoorthy, K. Uma, and M. Darus

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 849250, 9 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171178

Digital Object Identifier
doi:10.1155/2011/849250

Mathematical Reviews number (MathSciNet)
MR2802826

Zentralblatt MATH identifier
1220.30025

Citation

Murugusundaramoorthy, G.; Uma, K.; Darus, M. Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function. Abstr. Appl. Anal. 2011 (2011), Article ID 849250, 9 pages. doi:10.1155/2011/849250. https://projecteuclid.org/euclid.aaa/1313171178


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