Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operational Methods in the Study of Sobolev-Jacobi Polynomials   Inspired by ideas from umbral calculus and based on the two types of
integrals occurring in the defining equations for the gamma and the reciprocal
gamma functions, respectively, we develop a multi-variate version of umbral
calculus and of the so-called umbral image technique. Besides providing a class
of new formulae for generalized hypergeometric functions and an implementation
of series manipulations for computing lacunary generating functions, our main
application of these techniques is the study of Sobolev-Jacobi polynomials.
Motivated by applications to theoretical chemistry, we moreover present a deep
link between generalized normal-ordering techniques introduced by Gurappa and
Panigrahi, two-variable Hermite polynomials and our integral-based series
transforms. Notably, we thus calculate all K-tuple L-shifted lacunary
exponential generating functions for a certain family of SJ polynomials
explicitly.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin