Die Charakterisierung der klassischen orthogonalen Polynome durch Sturm- Liouvillesche Differentialgleichungen
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Publication:775359
DOI10.1007/BF00281200zbMath0105.27603MaRDI QIDQ775359
Publication date: 1962
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items (29)
Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions ⋮ Differential equations having orthogonal polynomial solutions ⋮ AN APPLICATION OF A NEW THEOREM ON ORTHOGONAL POLYNOMIALS AND DIFFERENTIAL EQUATIONS ⋮ A conjecture on exceptional orthogonal polynomials ⋮ A Bochner type characterization theorem for exceptional orthogonal polynomials ⋮ Nonlinear-Integral-Equation Construction of Orthogonal Polynomials ⋮ An interpolation-theoretical characterization of the classical orthogonal polynomials ⋮ Complete solution of the electrostatic equilibrium problem for classical weights ⋮ Two-step Darboux transformations and exceptional Laguerre polynomials ⋮ Exceptional Jacobi polynomials ⋮ Diophantine equations for classical continuous orthogonal polynomials ⋮ Characterizations of distributional weights for weak orthogonal polynomials satisfying a second-order differential equation ⋮ A characterization of Hermite polynomials ⋮ A construction of real weight functions for certain orthogonal polynomials in two variables ⋮ An extension of Bochner's problem: exceptional invariant subspaces ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ An extended class of orthogonal polynomials defined by a Sturm-Liouville problem ⋮ A unified treatment of polynomial solutions and constraint polynomials of the Rabi models ⋮ Diophantine equations for Morgan-Voyce and other modified orthogonal polynomials ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ Algebro-geometric aspectsof the Christoffel-Darboux kernelsfor classical orthogonal polynomials ⋮ Anwendung von Nullstellensätzen auf orthogonale Polynome, die als Lösungen Sturm-Liouvillescher Differenzengleichungen entstehen ⋮ New characterizations of classical orthogonal polynomials ⋮ THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS ⋮ Higher order self-adjoint operators with polynomial coefficients ⋮ Diophantine equations between polynomials obeying second order recurrences ⋮ Discriminants of classical quasi-orthogonal polynomials with application to Diophantine equations ⋮ Extremal problems, inequalities, and classical orthogonal polynomials. ⋮ Recurrence equations and their classical orthogonal polynomial solutions
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