orthogonal polynomials on the triangle
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1: 18.37 Classical OP’s in Two or More Variables
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§18.37(ii) OP’s on the Triangle
►Definition in Terms of Jacobi Polynomials
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18.37.7
, .
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18.37.8
and/or .
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2: 18.1 Notation
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Triangle: .
3: Bibliography G
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Positive sums of the classical orthogonal polynomials.
SIAM J. Math. Anal. 8 (3), pp. 423–447.
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Orthogonal Polynomials: Applications and Computation.
In Acta Numerica, 1996, A. Iserles (Ed.),
Acta Numerica, Vol. 5, pp. 45–119.
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Orthogonal Polynomials: Computation and Approximation.
Numerical Mathematics and Scientific Computation, Oxford University Press, New York.
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Variable-precision recurrence coefficients for nonstandard orthogonal polynomials.
Numer. Algorithms 52 (3), pp. 409–418.
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Exceptional orthogonal polynomials and the Darboux transformation.
J. Phys. A 43 (43), pp. 43016, 16 pp..
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4: 34.3 Basic Properties: Symbol
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►Then assuming the triangle conditions are satisfied
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►Again it is assumed that in (34.3.7) the triangle conditions are satisfied.
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►In the following three equations it is assumed that the triangle conditions are satisfied by each symbol.
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