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Matematicheskie Zametki, 2020, Volume 108, Issue 6, Pages 868–881
DOI: https://doi.org/10.4213/mzm12589 (Mi mzm12589) 		 
On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator

B. P. Osilenker
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DOI: https://doi.org/10.4213/mzm12589
Abstract: 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, orthogonal polynomials, Jacobi matrix, trilinear kernels, loaded Jacobi polynomials.
Received: 13.10.2019
Revised: 08.05.2020
English version:
Mathematical Notes, 2020, Volume 108, Issue 6, Pages 842–853
DOI: https://doi.org/10.1134/S0001434620110267
Bibliographic databases:
Document Type: Article
UDC: 517.538.3
Language: Russian
Citation: B. P. Osilenker, “On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator”, Mat. Zametki, 108:6 (2020), 868–881; Math. Notes, 108:6 (2020), 842–853
Citation in format AMSBIB
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