@Article{Harrat2020, author = "Harrat, Ayoub and Zerouali, El Hassan and Zielinski, Lech", title = "Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices", journal = "Opuscula Math.", year = "2020", volume = "40", number = "2", pages = "241--270", doi = "https://doi.org/10.7494/OpMath.2020.40.2.241", url = "https://doi.org/10.7494/OpMath.2020.40.2.241", abstract = "We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.", keywords = "tridiagonal matrix, band matrix, unbounded self-adjoint operator, discrete spectrum, large eigenvalues, asymptotics", issn = "1232-9274" }