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

G. Murugusundaramoorthy, K. Uma and M. Darus

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds for ℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)}, ℜ{f′(z)/fn′(z)}, and ℜ{fn′(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.

Date: 2011
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https://doi.org/10.1155/2011/849250

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:849250

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