Azad, HassanLaradji, AbdallahMustafa, Muhammad Tahir2022-03-212022-03-212017-01-18Azad, H., Laradji, A., & Mustafa, M. T. (2017). Higher order self-adjoint operators with polynomial coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(22), pp. 1-21.1072-6691https://hdl.handle.net/10877/15527We study algebraic and analytic aspects of self-adjoint operators of order four or higher with polynomial coefficients. As a consequence, a systematic way of constructing such operators is given. The procedure is applied to obtain many examples up to order 8; similar examples can be constructed for all even order operators. In particular, a complete classification of all order 4 operators is given.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalSelf-adjoint operatorsPolynomial coefficientsArticle