sigma09-033. 355KB Jun 04 2011 12:10:25 AM
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In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of
type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the
[3] Ruijsenaars S.N.M., Elliptic integrable systems of Calogero–Moser type: Some new results on joint eigen- functions, in Proceedings of the 2004 Kyoto Workshop on Elliptic
In particu- lar, we see that these two qualitatively different kinds of formulas for basic hypergeometric functions are closely related: indeed, they are different limits of
In the case of complex periodic potential the spectrum of the matrix S of e can contain values located inside of the continuous spectrum of the corresponding Hamiltonian h and
A generic elliptic Lagrangian immersion is uniquely determined, up to affine symplectic transformation, by the Fubini cubic
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
[12] Koornwinder T.H., Askey–Wilson polynomials for root systems of type BC, in Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Editor D.St.P.
