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 
@article{MZM_2020_108_6_a4,
     author = {B. P. Osilenker},
     title = {On {Potential} {Functions} {Associated} with {Eigenfunctions} of the {Discrete} {Sturm--Liouville} {Operator}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {868--881},
     publisher = {mathdoc},
     volume = {108},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_6_a4/}
}
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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/