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

Authors :
Murugusundaramoorthy, G.
Uma, K.
Darus, M.
Source :
Abstract & Applied Analysis; 2011, Special section p1-9, 9p
Publication Year :
2011

Abstract

Let f<subscript>n</subscript>(z) = z + ∑Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. a<subscript>k</subscript>z<superscript>k</superscript> be the sequence of partial sums of the analytic function f(z) = z + ∑ Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.a<subscript>k</subscript>z<superscript>k</superscript>. In this paper, we determine sharp lower bounds for 핹{f'(z)/f<subscript>n</subscript>(z)},핹{f<subscript>n</subscript>(z)/f(z)}, 핹{f'(z)/fDue to image rights restrictions, multiple line equation(s) cannot be graphically displayed.(z)}, and 핹{fDue to image rights restrictions, multiple line equation(s) cannot be graphically displayed.(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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10853375
Database :
Complementary Index
Journal :
Abstract & Applied Analysis
Publication Type :
Academic Journal
Accession number :
71406198
Full Text :
https://doi.org/10.1155/2011/849250