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pro vyhledávání: '"Stanton, Dennis W."'
Autor:
de Médicis, Anne, Stanton, Dennis W.
The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szwarc are corollaries of these expansions.
Externí odkaz:
http://arxiv.org/abs/math/9406226
Autor:
Chihara, Laura M., Stanton, Dennis W.
{Let ${\Cal X}$ be a self-dual P-polynomial association scheme. Then there are at most 12 diagonal matrices $T$ such that $(PT)^3=I$. Moreover, all of the solutions for the classical infinite families of such schemes (including the Hamming scheme) ar
Externí odkaz:
http://arxiv.org/abs/math/9406225
Autor:
Simion, Rodica, Stanton, Dennis W.
Three specializations of a set of orthogonal polynomials with ``8 different q's'' are given. The polynomials are identified as $q$-analogues of Laguerre polynomials, and the combinatorial interpretation of the moments give infinitely many new Mahonia
Externí odkaz:
http://arxiv.org/abs/math/9307219
We describe various aspects of the Al-Salam-Carlitz $q$-Charlier polynomials. These include combinatorial descriptions of the moments, the orthogonality relation, and the linearization coefficients.
Externí odkaz:
http://arxiv.org/abs/math/9307208
Autor:
Stanton, Dennis W, White, Dennis E
Publikováno v:
In Journal of Combinatorial Theory, Series A 1985 40(2):211-247
