corecursive orthogonal polynomials

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1: 18.30 Associated OP’s

… ►

§18.30(vi) Corecursive Orthogonal Polynomials

►The corecursive orthogonal polynomials,

p_{n}^{(0)}(x)

, these being linearly independent solutions of the recurrence for the

p_{n}(x)

, are defined as follows: … ►

§18.30(vii) Corecursive and Associated Monic Orthogonal Polynomials

►Defining associated orthogonal polynomials and their relationship to their corecursive counterparts is particularly simple via use of the recursion relations for the monic, rather than via those for the traditional polynomials. …

2: 18.2 General Orthogonal Polynomials

… ►The

p_{n}^{(0)}(x)

are the monic corecursive orthogonal polynomials. … …

3: Errata

… ►We have significantly expanded the section on associated orthogonal polynomials, including expanded properties of associated Laguerre, Hermite, Meixner–Pollaczek, and corecursive orthogonal and numerator and denominator orthogonal polynomials. …