Polynômes Orthogonaux et Applications Proceedings of the Laguerre Symposium held at Bar-le-Duc, October 15–18, 1984 / [electronic resource] :
edited by Claude Brezinski, André Draux, Alphonse P. Magnus, Pascal Maroni, André Ronveaux.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1985.
- XL, 588 p. online resource.
- Lecture Notes in Mathematics, 1171 0075-8434 ; .
- Lecture Notes in Mathematics, 1171 .
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 by three 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 Hermite polynomials -- 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.
9783540397434
10.1007/BFb0076527 doi
Mathematics.
Topological Groups.
Mathematics.
Topological Groups, Lie Groups.
QA252.3 QA387
512.55 512.482
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 by three 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 Hermite polynomials -- 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.
9783540397434
10.1007/BFb0076527 doi
Mathematics.
Topological Groups.
Mathematics.
Topological Groups, Lie Groups.
QA252.3 QA387
512.55 512.482