When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?

An Introduction to Orthogonal Polynomials.

W. G., T. S. Chihara · Mathematics of Computation · 1981 · 3K citations

Natural Sciences, Mathematics, Algebra +7

The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

Roelof Koekoek, René F. Swarttouw · arXiv (Cornell University) · 1996 · 1.3K citations · Full text

Natural Sciences, Mathematics, Algebra +9

On mechanical quadratures, in particular, with positive coefficients

J. Shohat · Transactions of the American Mathematical Society · 1937 · 95 citations

Engineering, Mathematics, Mechanical Engineering +6

On orthogonal polynomials with perturbed recurrence relations

Francisco Marcellán, J. S. Dehesa, A. Ronveaux · Journal of Computational and Applied Mathematics · 1990 · 87 citations

Natural Sciences, Mathematics, Algebra +9

Quasi-orthogonality with applications to some families of classical orthogonal polynomials

Claude Brezinski, K. Driver, Michela Redivo‐Zaglia · Applied Numerical Mathematics · 2003 · 83 citations

Natural Sciences, Orthodontics, Representation Theory +6