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- W2021572240 abstract "For the weight function W μ ( x ) = ( 1 − | x | 2 ) μ , μ > − 1 , λ > 0 and b μ a normalizing constant, a family of mutually orthogonal polynomials on the unit ball with respect to the inner product 〈 f , g 〉 = b μ [ ∫ B d f ( x ) g ( x ) W μ ( x ) d x + λ ∫ B d ∇ f ( x ) ⋅ ∇ g ( x ) W μ ( x ) d x ] are constructed in terms of spherical harmonics and a sequence of Sobolev orthogonal polynomials of one variable. The latter ones, hence, the orthogonal polynomials with respect to 〈 ⋅ , ⋅ 〉 , can be generated through a recursive formula." @default.
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- W2021572240 date "2013-07-01" @default.
- W2021572240 modified "2023-09-29" @default.
- W2021572240 title "Weighted Sobolev orthogonal polynomials on the unit ball" @default.
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- W2021572240 doi "https://doi.org/10.1016/j.jat.2013.03.004" @default.
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