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Shohat-Favard and Chebyshev's methods in d-orthogonality
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This paper is concerned with the Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences (d Î N). Shohat-Favard's method is presented from the concept of dual sequence of a sequence of polynomials. We deduce the recurrence relations for the Chebyshev and the Modified Chebyshev methods for every d Î N. The three methods are implemented in the Mathematica programming language. We show several formal and numerical test realized with the software developed.
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orthogonal polynomials, Shohat-Favard, Chebyshev and Modified Chebyshev methods
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