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On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator

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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.

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  1. Library of Information and Educational Resources, 109029, Moscow, Russia

    B. P. Osilenker

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Osilenker, B.P. On Potential Functions Associated with Eigenfunctions of the Discrete Sturm–Liouville Operator. Math Notes 108, 842–853 (2020). https://doi.org/10.1134/S0001434620110267

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