Document Details Document Type : Article In Journal  Document Title : Integral means for the $n$'th derivative of Blaschke products Integral means for the $n$'th derivative of Blaschke products   Subject : Integral means for the $n$'th derivative of Blaschke products  Document Language : English  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 Linden's 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 Linden's 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.  ISSN : 1012-1319  Journal Name : Science Journal  Volume : 25  Issue Number : 3  Publishing Year : 1423 AH 2002 AD  Article Type : Article  Added Date : Monday, June 15, 2009  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email 0 Mirwan Investigator Doctorate   Back To Researches Page