کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642362 1341340 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition of perturbed Chebyshev polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Decomposition of perturbed Chebyshev polynomials
چکیده انگلیسی

We characterize polynomial decomposition fn=r∘qfn=r∘q with r,q∈C[x]r,q∈C[x] of perturbed Chebyshev polynomials defined by the recurrencef0(x)=b,f1(x)=x-c,fn+1(x)=(x-d)fn(x)-afn-1(x),n⩾1,where a,b,c,d∈Ra,b,c,d∈R and a>0a>0. These polynomials generalize the Chebyshev polynomials, which are obtained by setting a=14, c=d=0c=d=0 and b∈{1,2}b∈{1,2}. At the core of the method, two algorithms for polynomial decomposition are provided, which allow to restrict the investigation to the resolution of six systems of polynomial equations in three variables. The final task is then carried out by the successful computation of reduced Gröbner bases with Maple 10. Some additional data for the calculations are available on the author's web page.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 214, Issue 2, 1 May 2008, Pages 356–370
نویسندگان
,