Separation of variables and combinatorics of linearization coefficients 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

The differential equations of birth-and-death processes, and the Stieltjes moment problem

Samuel Karlin, James L. McGregor · Transactions of the American Mathematical Society · 1957 · 496 citations · Full text

Engineering, Mathematics, Physics +10

The Combinatorics of q-Hermite polynomials and the Askey—Wilson Integral

Mourad E. H. Ismail, Dennis Stanton, Gérard Viennot · European Journal of Combinatorics · 1987 · 226 citations

Natural Sciences, Mathematics, Physics +11

Distribution of Crossings, Nestings and Alignments of Two Edges in Matchings and Partitions

Anisse Kasraoui, Jiang Zeng · The Electronic Journal of Combinatorics · 2006 · 92 citations · Full text

Natural Sciences, Mathematics, Combinatorics +11