Abstract

We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) an−1yn−1 + bnyn + anyn+1 = λyn, n ∈ ℕ and (γ0 + γ1λ)y1 + (β0 + β1λ)y0 = 0, where (an) and (bn) are complex sequences, λ is an eigenparameter, and γi, βi ∈ ℂ for i = 0, 1.

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