Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Block orthogonal polynomials: II. Hermite and Laguerre standard block
  orthogonal polynomials   The standard block orthogonal (SBO) polynomials $P_{i;n}(x), 0\le i\le n$ are
real polynomials of degree $n$ which are orthogonal with respect to a first
Euclidean scalar product to polynomials of degree less than $i$. In addition,
they are mutually orthogonal with respect to a second Euclidean scalar product.
Applying the general results obtained in a previous paper, we determine and
investigate these polynomials when the first scalar product corresponds to
Hermite (resp. Laguerre) polynomials. These new sets of polynomials, we call
Hermite (resp. Laguerre) SBO polynomials, provide a basis of functional spaces
well-suited for some applications requiring to take into account special linear
constraints which can be recast into an Euclidean orthogonality relation.

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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph