Ebook: Polynômes Orthogonaux et Applications: Proceedings of the Laguerre Symposium held at Bar-le-Duc, October 15–18, 1984

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Content:
Front Matter....Pages -
Fractions continuees et polynomes orthogonaux dans l'oeuvre de E.N. laguerre....Pages 1-15
?ber Orthogonalpolynome, die linearen Funktionalgleichungen gen?gen....Pages 16-35
Classical orthogonal polynomials....Pages 36-62
Some new applications of orthogonal polynomials....Pages 63-73
Simultaneous pade approximation and orthogonality....Pages 74-83
Orthogonal polynomials with respect to a linear functional lacunary of order S+1 in a non-commutative algebra....Pages 84-91
Bi-orthogonal polynomials....Pages 92-100
Algebraic characterization of orthogonality in the space of polynomials....Pages 101-110
Une approche combinatoire de la methode de Weisner....Pages 111-119
Combinatorial interpretation of integrals of products of hermite, Laguerre and Tchebycheff polynomials....Pages 120-128
Polyn?mes d'Hermite g?n?ralis?s et identit?s de SZEG? - une version combinatoire....Pages 129-138
A combinatorial theory for general orthogonal polynomials with extensions and applications....Pages 139-157
Two spaces of generalized functions based on harmonic polynomials....Pages 158-163
Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform....Pages 164-173
Sur quelques espaces de distributions qui sont des formes lineaires sur l'espace vectoriel des polyn?mes....Pages 174-183
Christoffel formulas for N-Kernels associated to Jordan arcs....Pages 184-194
Closure of analytic polynomials in weighted Jordan curves....Pages 195-203
Minimal recurrence formulas for orthogonal polynomials on Bernoulli's lemniscate....Pages 204-210
Even entire functions absolutely monotone in [0,?) and weights on the whole real line....Pages 211-220
Extensions of Szeg?'s theory of orthogonal polynomials....Pages 221-229
Sur des transformations d'une fonction de poids....Pages 230-238
Orthogonal polynomials for general measures-II....Pages 239-246
On polynomials with interlacing zeros....Pages 247-254
On the sharpness of results in the theory of location of zeros of polynomials defined by three term recurrence relations....Pages 255-258
Monotonicity properties for the zeros of orthogonal polynomials and bessel functions....Pages 259-266
Zeros of complex orthogonal polynomials....Pages 267-277
Sur les zeros des splines orthogonales....Pages 278-282
Zeros extr?maux de polyn?mes orthogonaux....Pages 283-290
On the size of some trigonometric polynomials....Pages 291-295
Survey on multipoint Pad? approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them....Pages 296-301
Une relation entre les series de Jacobi et l'approximation de Pade....Pages 302-308
On the divergence of certain Pade approximant and the behaviour of the associated orthogonal polynomials....Pages 309-316
Lagrangian differentiation, Gauss-Jacobi integration, and Sturm-Liouville eigenvalue problems....Pages 317-320
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 -....Pages 321-330
Semi-classical orthogonal polynomials....Pages 331-339
A proof of Freud's conjecture about the orthogonal polynomials related to |x|?exp(?x2m), for integer m.....Pages 340-353
Some remarks on a result of Laguerre concerning continued fraction solutions of first order linear differential equations....Pages 354-361
Asymptotic expansion of Jacobi polynomials....Pages 362-372
Representation theorems for solutions of the heat equation and a new method for obtaining expansions in Laguerre and hermite polynomials....Pages 373-379
On a mixed one step/Chebyshev pseudospectral technique for the integration of parabolic problems using finite element preconditioning....Pages 380-389
Two points Pade type approximants for Stieltjes functions....Pages 390-398
Near-minimax approximation and telescoping procedures based on Laguerre and Hermite polynomials....Pages 399-407
Application des polynomes orthogonaux de Laguerre a l'identification des systemes non-lineaires....Pages 408-418
On figures generated by normalized Tau approximation error curves....Pages 419-425
Gauss-like integration with preassigned nodes and analytic extensions of continued fractions....Pages 426-434
Orthogonal polynomials and the partial realization problem....Pages 435-441
A class of polynomials related to those of Laguerre....Pages 442-450
Numerical inversion of the Laplace transform by the use of Pollaczek polynomials....Pages 451-458
Coefficients de correlation d'ordre (I,J) et variances d'ordre I....Pages 459-464
Generalized-moments: Application to solid-state physics....Pages 465-474
The Kustaanheimo-Stiefel transformation and certain special functions....Pages 475-485
A non-classical, orthogonal polynomial family....Pages 486-496
On the laguerre series distribution....Pages 497-505
Laguerre and computerized tomography: Consistency conditions and stability of the radon transform....Pages 506-513
Some results on spectral theory over networks, applied to nerve impulse transmission....Pages 514-523
Radar/Sonar detection and Laguerre functions....Pages 524-531
Note on two identities mentioned by professor Dr. W. Schempp near the end of the presentation of his paper....Pages 532-541
The equation of motion of an expanding sphere in potential flow....Pages 542-552
Problems....Pages 553-554
....Pages 555-562