J. Dieudonné (auth.), Claude Brezinski, André Draux, Alphonse P. Magnus, Pascal Maroni, André Ronveaux (eds.)9780387160597, 0-387-16059-0
Table of contents :
Fractions continuees et polynomes orthogonaux dans l’oeuvre de E.N. laguerre….Pages 1-15
Über Orthogonalpolynome, die linearen Funktionalgleichungen genügen….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
Polynômes d’Hermite généralisés et identités de SZEGÖ – 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 polynômes….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 Szegö’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 extrêmaux de polynômes orthogonaux….Pages 283-290
Polynomes de bernstein modifies sur un simplexe T de ℝ l probleme des moments….Pages 291-295
On the size of some trigonometric polynomials….Pages 296-301
Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them….Pages 302-308
Une relation entre les series de Jacobi et l’approximation de Pade….Pages 309-316
On the divergence of certain Pade approximant and the behaviour of the associated orthogonal polynomials….Pages 317-320
Lagrangian differentiation, Gauss-Jacobi integration, and Sturm-Liouville eigenvalue problems….Pages 321-330
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 331-339
Semi-classical orthogonal polynomials….Pages 340-353
A proof of Freud’s conjecture about the orthogonal polynomials related to |x| ρ exp(−x 2m ), for integer m…..Pages 354-361
Some remarks on a result of Laguerre concerning continued fraction solutions of first order linear differential equations….Pages 362-372
Asymptotic expansion of Jacobi polynomials….Pages 373-379
Representation theorems for solutions of the heat equation and a new method for obtaining expansions in Laguerre and hermite polynomials….Pages 380-389
On a mixed one step/Chebyshev pseudospectral technique for the integration of parabolic problems using finite element preconditioning….Pages 390-398
Two points Pade type approximants for Stieltjes functions….Pages 399-407
Near-minimax approximation and telescoping procedures based on Laguerre and Hermite polynomials….Pages 408-418
Application des polynomes orthogonaux de Laguerre a l’identification des systemes non-lineaires….Pages 419-425
On figures generated by normalized Tau approximation error curves….Pages 426-434
Gauss-like integration with preassigned nodes and analytic extensions of continued fractions….Pages 435-441
Orthogonal polynomials and the partial realization problem….Pages 442-450
A class of polynomials related to those of Laguerre….Pages 451-458
Numerical inversion of the Laplace transform by the use of Pollaczek polynomials….Pages 459-464
Coefficients de correlation d’ordre (I,J) et variances d’ordre I….Pages 465-474
Generalized-moments: Application to solid-state physics….Pages 475-485
The Kustaanheimo-Stiefel transformation and certain special functions….Pages 486-496
A non-classical, orthogonal polynomial family….Pages 497-505
On the laguerre series distribution….Pages 506-513
Laguerre and computerized tomography: Consistency conditions and stability of the radon transform….Pages 514-523
Some results on spectral theory over networks, applied to nerve impulse transmission….Pages 524-531
Radar/Sonar detection and Laguerre functions….Pages 532-541
Note on two identities mentioned by professor Dr. W. Schempp near the end of the presentation of his paper….Pages 542-552
The equation of motion of an expanding sphere in potential flow….Pages 553-554
Problems….Pages 555-562
….Pages 563-584
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