Geodesic
On Potential Functions Associated with Eigenfunctions of the Discrete Sturm--Liouville Operator
Matematičeskie zametki, Tome 108 (2020) no. 6, pp. 868-881.

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Potential functions associated with eigenfunctions of the discrete Sturm–Liouville operator are studied in a loaded space. On the basis of representations of kernels with respect to the corresponding orthogonal polynomials, an estimate for the growth of potential functions is obtained.
Keywords: potential function, discrete operator, Sturm–Liouville operator, trilinear kernels, loaded Jacobi polynomials.
Mots-clés : orthogonal polynomials, Jacobi matrix 
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B. P. Osilenker. On Potential Functions Associated with Eigenfunctions of the Discrete Sturm--Liouville Operator. Matematičeskie zametki, Tome 108 (2020) no. 6, pp. 868-881. http://geodesic.mathdoc.fr/item/MZM_2020_108_6_a4/

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