Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cauchy-Stieltjes families with polynomial variance functions and
  generalized orthogonality   This paper studies variance functions of Cauchy-Stieltjes Kernel families
generated by compactly supported centered probability measures. We describe
several operations that allow us to construct additional variance functions
from known ones. We construct a class of examples which exhausts all cubic
variance functions, and provide examples of polynomial variance functions of
arbitrary degree. We also relate Cauchy-Stieltjes Kernel families with
polynomial variance functions to generalized orthogonality.
  Our main results are stated solely in terms of classical probability; some
proofs rely on analytic machinery of free probability.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con