Higher order self-adjoint operators with polynomial coefficients

zbMath1488.33027arXiv1409.2523MaRDI QIDQ2958557

M. Tahir Mustafa, Hassan Azad, Abdallah Laradji

Publication date: 3 February 2017

Full work available at URL: https://arxiv.org/abs/1409.2523

zbMATH Keywords

polynomial coefficientsself-adjoint operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Cites Work

• Polynomial solutions of differential equations
• Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm- Liouvillesche Differentialgleichungen
• Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions
• On the classification of differential equations having orthogonal polynomial solutions
• Orthogonal polynomials and higher order singular Sturm-Liouville systems
• A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
• A note on the Koekoeks' differential equation for generalized Jacobi polynomials
• Polynomial solutions of certain differential equations arising in physics
• Symmetric and Symmetrisable Differential Expressions
• Differential operators having Sobolev type Laguerre polynomials as eigenfunctions
• Orthogonal polynomial solutions of spectral type differential equations: Magnus' conjecture