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