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Abstract and Applied Analysis Volume 2012 ,20112-12-13
Differential Subordination Results for Certain Integrodifferential Operator and Its Applications
Research Article
M. A. Kutbi 1 A. A. Attiya 2 , 3
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DOI:10.1155/2012/638234
Received 2012-10-08, accepted for publication 2012-11-27, Published 2012-11-27
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摘要

We introduce an integrodifferential operator J s , b ( f ) which plays an important role in the Geometric Function Theory. Some theorems in differential subordination for J s , b ( f ) are used. Applications in Analytic Number Theory are also obtained which give new results for Hurwitz-Lerch Zeta function and Polylogarithmic function.

授权许可

Copyright © 2012 M. A. Kutbi and A. A. Attiya. 2012
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

通讯作者

A. A. Attiya.Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt, mans.edu.eg;Department of Mathematics, College of Science, University of Hail, Hail, Saudi Arabia, uoh.edu.sa.aattiy@mans.edu.eg

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M. A. Kutbi,A. A. Attiya. Differential Subordination Results for Certain Integrodifferential Operator and Its Applications. Abstract and Applied Analysis ,Vol.2012(20112)

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