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orthogonal polynomials

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21: 34 3j, 6j, 9j Symbols
22: Vadim B. Kuznetsov
Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics. …
23: Gerhard Wolf
Wolf has published papers on Mathieu functions, orthogonal polynomials, and Heun functions. …
24: Mourad E. H. Ismail
Ismail has published numerous papers on special functions, orthogonal polynomials, approximation theory, combinatorics, asymptotics, and related topics. His well-known book Classical and Quantum Orthogonal Polynomials in One Variable was published by Cambridge University Press in 2005 and reprinted with corrections in paperback in Ismail (2009). …
25: 18.36 Miscellaneous Polynomials
§18.36(ii) Sobolev Orthogonal Polynomials
§18.36(iii) Multiple Orthogonal Polynomials
§18.36(iv) Orthogonal Matrix Polynomials
These are matrix-valued polynomials that are orthogonal with respect to a square matrix of measures on the real line. …
§18.36(vi) Exceptional Orthogonal Polynomials
26: 18.7 Interrelations and Limit Relations
§18.7 Interrelations and Limit Relations
§18.7(i) Linear Transformations
§18.7(ii) Quadratic Transformations
§18.7(iii) Limit Relations
See §18.11(ii) for limit formulas of Mehler–Heine type.
27: 18.24 Hahn Class: Asymptotic Approximations
§18.24 Hahn Class: Asymptotic Approximations
Similar approximations are included for Jacobi, Krawtchouk, and Meixner polynomials.
28: 18.2 General Orthogonal Polynomials
§18.2 General Orthogonal Polynomials
29: Bibliography Q
  • C. Quesne (2011) Higher-Order SUSY, Exactly Solvable Potentials, and Exceptional Orthogonal Polynomials. Modern Physics Letters A 26, pp. 1843–1852.
  • 30: William P. Reinhardt
    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. …