A characterization of the four Chebyshev orthogonal families | Zendy

E. Berriochoa | Zendy; A. Cachafeiro | Zendy; J. García-Amor | Zendy

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A characterization of the four Chebyshev orthogonal families

Author(s) -

E. Berriochoa,

A. Cachafeiro,

J. García-Amor

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2071

Subject(s) - mathematics , chebyshev polynomials , orthogonal polynomials , chebyshev nodes , chebyshev filter , characterization (materials science) , constant (computer programming) , polynomial , property (philosophy) , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , philosophy , materials science , epistemology , computer science , programming language , nanotechnology

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

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