Les vers héroïques du sieur Tristan L'Hermite ([Reprod.])

Collection : French books 1601-1700 ; 103.5

La Mariane : tragédie ([Reprod.]) / [Tristan L'Hermite]

Collection : French books 1601-1700 ; 103.3

Arrêt du grand conseil qui juge que les brefs de pénitencerie de cour de Rome fulminés par les nonces de Sa Sainteté, quoique confirmés par les brefs de la daterie, n'ont point lieu en France pour le fore extérieur. En conséquence a déclaré la translation d'un hermite de Saint-Augustin dans l'ordre de Saint-Benoît nulle et abusive, et renvoyé ledit hermite dans le couvent de sa profession, à Paris, au faubourg Saint-Germain. Qui maintient un gradué régulier de l'ordre Cluny dans la possession du prieuré de Sainte-Gemme dont il était pourvu comme gradué. Et qui juge nulles tant la permutation faite en fraude des gradués que les collations faites au compermutant, contre les maximes du droit et les termes de l'indult du collateur

[Acte. 1694-09-20. Paris]

Stabilizing a class of time delay systems using the Hermite-Biehler theorem

In this paper we use the Hermite-Biehler theorem to establish results for the design of fixed order controllers for a class of time delay systems. We extend results of the polynomial case to quasipolynomials using the property of interlacing in high frequencies of the class of time delay systems considered. (C) 2003 Elsevier B.V. All rights reserved.

Zeros of Gegenbauer and Hermite polynomials and connection coefficients

In this paper, sharp upper limit for the zeros of the ultraspherical polynomials are obtained via a result of Obrechkoff and certain explicit connection coefficients for these polynomials. As a consequence, sharp bounds for the zeros of the Hermite polynomials are obtained.

Squeezed states, generalized Hermite polynomials and pseudo-diffusion equation

We show that the wavefunctions 〈pq; λ|n〈, of the harmonic oscillator in the squeezed state representation, have the generalized Hermite polynomials as their natural orthogonal polynomials. These wavefunctions lead to generalized Poisson Distribution Pn(pq;λ), which satisfy an interesting pseudo-diffusion equation: ∂Pnp,q;λ) ∂λ= 1 4 [ ∂2 ∂p2-( 1 λ2) ∂2 ∂q2]P2(p,q;λ), in which the squeeze parameter λ plays the role of time. Th entropies Sn(λ) have minima at the unsqueezed states (λ=1), which means that squeezing or stretching decreases the correlation between momentum p and position q. © 1992.

Zero sets of bivariate Hermite polynomials

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)