Fekete-Szego Problems Involving Certain Integral Operator
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International Journal of Mathematical Trends and Technology (IJMTT) | ![]() |
© 2014 by IJMTT Journal | ||
Volume-7 Number-1 |
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Year of Publication : 2014 | ||
Authors : Jamal Salah |
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Jamal Salah. "Fekete-Szego Problems Involving Certain Integral Operator", International Journal of Mathematical Trends and Technology (IJMTT). V7:54-60 March 2014. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.
Abstract
In this paper, we obtain Fekete-Szego inequality for certain normalized analytic function f (z) dened on the open unit disc for which z(J;f(z))0 J;f(z) ; (0 - 1 < 2) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions dened by Hadamard product are given.
References
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Keywords
Caputo's dierentiation operator;; Hadamard product;Analytic functions; Starlike functions; Fekete-Szego inequality.