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Document Details
Document Type
:
Thesis
Document Title
:
GROWTH ESTIMATES FOR THE n,th DERIVATIVE OF BLASCHKE PRODUCTS
تقديرات النماء للمشتقة النونية لحاصل ضرب بلاشكي
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
Let be a sequence of nonzero points in the open unit disk satisfying Then the product known as the Blaschke product, represents a bounded analytic function in and has zeros only at the points This thesis consists of three chapters: The literature of Blaschke products is extensive, so, in Chapter 1, we survey and give a brief review to some background of Blaschke products. Chapter 2 is devoted to Lindens results [ 1 ] about the extention of the work of Protas [ 2 ]. In his work Linden generalized the results of Protas to consider higher order derivatives of Blaschke products. The purpose of Chapter 3 is to comment on Kutbi work [ 8 ], in which he extended Lindens results [ 1 ]. He obtained estimates of the integral means showing that as when Counterexamples are constructed by him to indicate that the estimates are essentially best possible
Supervisor
:
Dr. Marwan Amin Kotbi
Thesis Type
:
Master Thesis
Publishing Year
:
1427 AH
2006 AD
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
بدرية معيض القثامي
Al-Gethami, Badreeh Maeed
Researcher
Master
bgethami@kau.edu.sa
Files
File Name
Type
Description
23704.pdf
pdf
المستخلص
23705.pdf
pdf
Abstract
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