کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9662276 698771 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Factorization properties of chebyshev polynomials
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Factorization properties of chebyshev polynomials
چکیده انگلیسی
Several factorization properties of Chebyshev are reported here. Studying the euclidean division of two Chebyshev, we observe that the remainder is either zero or (up to a sign) another Chebyshev polynomial. This lead to explicit computation of the greatest common divisor of two Chebyshev. We also obtain conditions for determining when a Chebyshev polynomial is divisible by another. Observing the modular representation over prime fields, we find two infinite sets of fieldsℤp where a given Chebyshev polynomial factors completely into linear factors. We discuss how to obtain the factors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 50, Issues 8–9, October–November 2005, Pages 1231-1240
نویسندگان
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