期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.2071
出版社：Hindawi Publishing Corporation
摘要：We obtain a property which characterizes the Chebyshev
orthogonal polynomials of first, second, third, and fourth kind.
Indeed, we prove that the four Chebyshev sequences are the unique
classical orthogonal polynomial families such that their
linear combinations, with fixed length and constant coefficients, can be orthogonal polynomial
sequences.
