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general orthogonal polynomials

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1: 18.2 General Orthogonal Polynomials
§18.2 General Orthogonal Polynomials
Orthogonality on General Sets
§18.2(vii) Quadratic Transformations
2: Bibliography I
  • M. E. H. Ismail (2000a) An electrostatics model for zeros of general orthogonal polynomials. Pacific J. Math. 193 (2), pp. 355–369.
  • 3: Richard A. Askey
    4: Howard S. Cohl
    Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and q -series. …
    5: 16.7 Relations to Other Functions
    §16.7 Relations to Other Functions
    6: 18.5 Explicit Representations
    §18.5(iii) Finite Power Series, the Hypergeometric Function, and Generalized Hypergeometric Functions
    7: Bibliography B
  • C. Brezinski (1980) Padé-type Approximation and General Orthogonal Polynomials. International Series of Numerical Mathematics, Vol. 50, Birkhäuser Verlag, Basel.
  • 8: 18.30 Associated OP’s
    §18.30(i) Associated Jacobi Polynomials
    9: Bibliography
  • R. Askey and J. Wilson (1985) Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Mem. Amer. Math. Soc. 54 (319), pp. iv+55.
  • 10: 18.20 Hahn Class: Explicit Representations
    §18.20(ii) Hypergeometric Function and Generalized Hypergeometric Functions