Differential orthogonality: Laguerre and Hermite cases with applications

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Continued Fraction Solutions to Hermite's, Legendre's and Laguerre's Differential Equation

The continued fraction method for solving differential equations is illustrated using three famous differential equations used in quantum chemistry.

Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants

We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.

Œuvres de Charles Hermite publiées sous les auspices de l'Académie des sciences,

"Le préface ... est la leçon que j'ai faite à la Sorbonne sur l'œuvre scientifique de Charles Hermite quelques semaines après sa mort."--Avertissement.

Cours de M. Hermite rédigé en 1882

Available on demand as hard copy or computer file from Cornell University Library.

L'hermite en Suisse; ou Observations sur les mœurs et les usages suisses au commencement du XIXe siècle. Faisant suite à la Collection des mœurs françaises, anglaises, italiennes etc.

Attributed to Étienne Jouy.

L'Hermite de Corbeny, ou Le sacre et le couronnement de Charles X, roi de France et de Navarre.

Mode of access: Internet.

L'Hermite de Belleville, ou Choix d'opuscules, politiques, littéraires et satiriques /

Each vol. has also added t.p. of 1833 edition.

L'hermite de la Chaussée-d'Antin, ou, Observations sur les moeurs et les usages parisiens au commencement du XIXe siècle.

Added t.p.: engraved.

The Paris Spectator : or, L'hermite de la Chaussée-d'Antin. Containing observations upon Parisian manners & customs at the commencement of the nineteenth century /

The author's name is given in the translator's introduction (p. viii).

L'hermite de la Chaussée-d'Antin,

Mode of access: Internet.

Solution of the equation of secular variation by a method due to Hermite ...

Thesis (PH.D.)--University of Virginia, 1916.

Correspondance d'Hermite et de Stieltjes.

Mode of access: Internet.

Complete Systems of Hermite Associated Functions

It is proved that if the increasing sequence {kn} n=0..∞ n=0 of nonnegative integers has density greater than 1/2 and D is an arbitrary simply connected subregion of C\R then the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.

Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function

AMS Subject Classification 2010: 11M26, 33C45, 42A38.