Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices

Ayoub Harrat, El Hassan Zerouali, Lech Zielinski
2020 Opuscula Mathematica  
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.
doi:10.7494/opmath.2020.40.2.241 fatcat:3inwyh53vrbjppl63tpx55tfnu