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with a bosonic gas at temperature zero, can be the Standard Hamiltonian of the non-relativistic QED, (see or instance [2]), or the Pauli-Fierz operator, which is defined in [7, 2],
For closed affine Deligne-Lusztig varieties in the function field case, the set of connected components is also given by a general- ization of the formula in Theorem 1 (see [V3],
In our third proof, we use Lagrange inversion to prove Lemma 4 (from which, as we have seen, Theorem 2 follows easily) by giving an explicit formula for Z ( u, y ) r that makes
The following theorem proves Schur’s congruence for scaled Legendre polynomials. The proof is identical to Wahab’s for the usual
In this section, starting from the Appel polynomials, we construct a quadra- ture rule generalizing the well known Euler–MacLaurin quadrature formula, using Appel (instead
This is another simple case of co-recursive associated Meixner polynomials for which the coe- cients of the dierence equation are obtain from those of the zero-related case in
In this section we construct matrix polynomial approximations of problems (1)–(3) expressed in terms of Hermite matrix polynomials... Apostol, Explicit formulas for solutions of
For classical orthogonal polynomials of a discrete variable, the recurrence coecients are known explicitly and Theorem 8.1 can be used to obtain the zero distributions... Then is