کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610719 1338581 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An explicit bound of the number of vanishing double moments forcing composition
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
An explicit bound of the number of vanishing double moments forcing composition
چکیده انگلیسی

We give two new characterizations of pairs of polynomials or trigonometric polynomials that form a composition pair. One of them proves that the cancellation of a given number of double moments implies that they form a composition pair. This number only depends on the maximum degree of both polynomials. This is the first time that composition is characterized in terms of the cancellation of an explicit number of double moments. Our results allow to recognize the composition centers for polynomial and trigonometric Abel differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 255, Issue 3, 1 August 2013, Pages 339-350