CONSTRAINED JACOBI POLYNOMIAL AND CONSTRAINED CHEBYSHEV POLYNOMIAL | Zendy

Young-Joon Ahn | Zendy

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CONSTRAINED JACOBI POLYNOMIAL AND CONSTRAINED CHEBYSHEV POLYNOMIAL

Author(s) -

Young-Joon Ahn

Publication year - 2008

Publication title -

communications of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.286

H-Index - 15

eISSN - 2234-3024

pISSN - 1225-1763

DOI - 10.4134/ckms.2008.23.2.279

Subject(s) - mathematics , chebyshev nodes , polynomial , chebyshev polynomials , reciprocal polynomial , matrix polynomial , chebyshev equation , stable polynomial , degree of a polynomial , alternating polynomial , discrete mathematics , pure mathematics , orthogonal polynomials , mathematical analysis , classical orthogonal polynomials

In this paper, we present the constrained Jacobi polynomial which is equal to the constrained Chebyshev polynomial up to constant multiplication. For degree n = 4, 5, we find the constrained Jacobi polynomial, and for n ≥ 6, we present the normalized constrained Jacobi polynomial which is similar to the constrained Chebyshev polynomial.

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