Numerical construction of the generalized Hermite polynomials
2003 ◽
pp. 49-63
Keyword(s):
In this paper we are concerned with polynomials orthogonal with respect to the generalized Hermite weight function w(x) = |x ? z|? exp(?x2) on R, where z?R and ? > ? 1. We give a numerically stable method for finding recursion coefficients in the three term recurrence relation for such orthogonal polynomials, using some nonlinear recurrence relations, asymptotic expansions, as well as the discretized Stieltjes-Gautschi procedure.
2020 ◽
Vol 26
(4)
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pp. 164-172
2021 ◽
Vol 16
(1)
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1997 ◽
Vol 20
(1)
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pp. 1-7
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