Polynomes Orthogonaux et Applications

Proceedings of the Laguerre Symposium held at Bar-le-Duc, October 15-18, 1984

AvC. Brezinski,A. Draux

Häftad, Engelska, 1985

Del 1171 i serien Lecture Notes in Mathematics

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Produktinformation

Utgivningsdatum:1985-12-01
Mått:155 x 235 x 34 mm
Vikt:937 g
Format:Häftad
Språk:Engelska, Franska
Serie:Lecture Notes in Mathematics
Antal sidor:588
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540160595

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Innehållsförteckning

Fractions continuees et polynomes orthogonaux dans l'oeuvre de E.N. laguerre.- Über Orthogonalpolynome, die linearen Funktionalgleichungen genügen.- Classical orthogonal polynomials.- Some new applications of orthogonal polynomials.- Simultaneous pade approximation and orthogonality.- Orthogonal polynomials with respect to a linear functional lacunary of order S+1 in a non-commutative algebra.- Bi-orthogonal polynomials.- Algebraic characterization of orthogonality in the space of polynomials.- Une approche combinatoire de la methode de Weisner.- Combinatorial interpretation of integrals of products of hermite, Laguerre and Tchebycheff polynomials.- Polynômes d'Hermite généralisés et identités de SZEGÖ - une version combinatoire.- A combinatorial theory for general orthogonal polynomials with extensions and applications.- Correspondance enter suites de polynômes orthogonaux et fonctions de la boule unité de H O ? (D).- Two spaces of generalized functions based on harmonic polynomials.- Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform.- Sur quelques espaces de distributions qui sont des formes lineaires sur l'espace vectoriel des polynômes.- Christoffel formulas for N-Kernels associated to Jordan arcs.- Closure of analytic polynomials in weighted Jordan curves.- Minimal recurrence formulas for orthogonal polynomials on Bernoulli's lemniscate.- Even entire functions absolutely monotone in [0,?) and weights on the whole real line.- Extensions of Szegö's theory of orthogonal polynomials.- Sur des transformations d'une fonction de poids.- Orthogonal polynomials for general measures-II.- On polynomials with interlacing zeros.- On the sharpness of results in the theory of location of zeros of polynomials defined bythree term recurrence relations.- Monotonicity properties for the zeros of orthogonal polynomials and bessel functions.- Zeros of complex orthogonal polynomials.- Sur les zeros des splines orthogonales.- Zeros extrêmaux de polynômes orthogonaux.- Polynomes de bernstein modifies sur un simplexe T de ? l probleme des moments.- On the size of some trigonometric polynomials.- Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them.- Une relation entre les series de Jacobi et l'approximation de Pade.- On the divergence of certain Pade approximant and the behaviour of the associated orthogonal polynomials.- Lagrangian differentiation, Gauss-Jacobi integration, and Sturm-Liouville eigenvalue problems.- Construction and properties of two sequences of orthogonal polynomials and the infinitely many, recursively generated sequences of associated orthogonal polynomials, directly related to Mathieu's differential equation and functions - Part I -.- Semi-classical orthogonal polynomials.- A proof of Freud's conjecture about the orthogonal polynomials related to |x|?exp(?x2m), for integer m..- Some remarks on a result of Laguerre concerning continued fraction solutions of first order linear differential equations.- Asymptotic expansion of Jacobi polynomials.- Representation theorems for solutions of the heat equation and a new method for obtaining expansions in Laguerre and hermite polynomials.- On a mixed one step/Chebyshev pseudospectral technique for the integration of parabolic problems using finite element preconditioning.- Two points Pade type approximants for Stieltjes functions.- Near-minimax approximation and telescoping procedures based on Laguerre and Hermitepolynomials.- Application des polynomes orthogonaux de Laguerre a l'identification des systemes non-lineaires.- On figures generated by normalized Tau approximation error curves.- Gauss-like integration with preassigned nodes and analytic extensions of continued fractions.- Orthogonal polynomials and the partial realization problem.- A class of polynomials related to those of Laguerre.- Numerical inversion of the Laplace transform by the use of Pollaczek polynomials.- Coefficients de correlation d'ordre (I,J) et variances d'ordre I.- Generalized-moments: Application to solid-state physics.- The Kustaanheimo-Stiefel transformation and certain special functions.- A non-classical, orthogonal polynomial family.- On the laguerre series distribution.- Laguerre and computerized tomography: Consistency conditions and stability of the radon transform.- Some results on spectral theory over networks, applied to nerve impulse transmission.- Radar/Sonar detection and Laguerre functions.- Note on two identities mentioned by professor Dr. W. Schempp near the end of the presentation of his paper.- The equation of motion of an expanding sphere in potential flow.- Problems.