orthogonality
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31: 29.14 Orthogonality
§29.14 Orthogonality
►Lamé polynomials are orthogonal in two ways. First, the orthogonality relations (29.3.19) apply; see §29.12(i). …is orthogonal and complete with respect to the inner product … ►Each of the following seven systems is orthogonal and complete with respect to the inner product (29.14.2): …32: 18.24 Hahn Class: Asymptotic Approximations
§18.24 Hahn Class: Asymptotic Approximations
… ►Similar approximations are included for Jacobi, Krawtchouk, and Meixner polynomials.33: 18.33 Polynomials Orthogonal on the Unit Circle
§18.33 Polynomials Orthogonal on the Unit Circle
►§18.33(i) Definition
… ►§18.33(ii) Recurrence Relations
… ►§18.33(iii) Connection with OP’s on the Line
… ►Recurrence Relations
…34: Bibliography Q
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Higher-Order SUSY, Exactly Solvable Potentials, and Exceptional Orthogonal Polynomials.
Modern Physics Letters A 26, pp. 1843–1852.
35: William P. Reinhardt
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►Reinhardt is a theoretical chemist and atomic physicist, who has always been interested in orthogonal polynomials and in the analyticity properties of the functions of mathematical physics.
…Older work on the scattering theory of the atomic Coulomb problem led to the discovery of new classes of orthogonal polynomials relating to the spectral theory of Schrödinger operators, and new uses of old ones: this work was strongly motivated by his original ownership of a 1964 hard copy printing of the original AMS 55 NBS Handbook of Mathematical Functions.
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36: 18.30 Associated OP’s
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►Orthogonality
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►Orthogonality
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►Orthogonality
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§18.30(vi) Corecursive Orthogonal Polynomials
… ►37: 1 Algebraic and Analytic Methods
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38: 14 Legendre and Related Functions
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