Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Approximation of the Fractional Laplacian on $\mathbb R$ Using
  Orthogonal Families   In this paper, using well-known complex variable techniques, we compute
explicitly, in terms of the ${}_2F_1$ Gaussian hypergeometric function, the
one-dimensional fractional Laplacian of the Higgins functions, the Christov
functions, and their sine-like and cosine-like versions. After discussing the
numerical difficulties in the implementation of the proposed formulas, we
develop a method using variable precision arithmetic that gives accurate
results.

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The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-th