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The difference Schrödinger equation ψ (z+h)+ψ (z-h)+ v(z)ψ (z)=Eψ (z), z∈ C, is considered; here h is a positive number, E is the spectral parameter, and v is a trigonometric polynomial. The asymptotics of its entire solutions is studied as h→ 0.
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Fedotov et al. (2018) studied this question.
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