کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623688 1339521 2006 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Blaschke-oscillatory equations of the form f″+A(z)f=0f″+A(z)f=0
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Blaschke-oscillatory equations of the form f″+A(z)f=0f″+A(z)f=0
چکیده انگلیسی

We study the zero sequences of the non-trivial solutions ofequation(†)f″+A(z)f=0,f″+A(z)f=0, where A(z)A(z) is analytic in the unit disc. We offer several aspects illustrating the fact that it is not so uncommon for these zero sequences to be Blaschke sequences. The typical results can be divided into two categories: (1) We search for conditions on A(z)A(z) under which the zero sequences of solutions of (†) are Blaschke sequences. (2) For given Blaschke sequences satisfying certain conditions, we construct an analytic function A(z)A(z) (of minimal growth) such that these Blaschke sequences are the zero sequences of certain solutions of (†).This discussion is a continuation of the recent paper [J. Heittokangas, Solutions of f″+A(z)f=0f″+A(z)f=0 in the unit disc having Blaschke sequences as the zeros, Comput. Methods Funct. Theory 5 (2005) 49–63].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 318, Issue 1, 1 June 2006, Pages 120–133
نویسندگان
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