Difference Equations, Special Functions and Orthogonal Polynomials: Proceedings of the International Conference: Munich, Germany 25-30, July 2005

by Elaydi, S.; Cushing, J.; Lasser, R.; Papageorgiou, V.; Ruffing, A.

• ISBN13: 9789812706430
• ISBN10: 9812706437
• Format: Hardcover
• Copyright: 2007-05-21
• Publisher: World Scientific Pub Co Inc

Summary

This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the meeting but have difference equations as common thread.

Table of Contents

Pascal matrix, classical polynomials and difference equations	p. 1
On the Ruelle zeta function of an expanding interval map	p. 17
Difference schemes for the singularly perturbed Sobolev equations	p. 23
On global periodicity of x[subscript n+2] = f(x[subscript n+1], x[subscript n])	p. 41
Logarithmic order and type of indeterminate moment problems	p. 51
A system of biorthogonal trigonometric polynomials	p. 80
Quasi monomiality and linearization coefficients for Sheffer polynomial sets	p. 90
d-orthogonal polynomial sets of Chebyshev type	p. 100
On two problems in Lacunary polynomial interpolation	p. 112
Semiclassical linear functional of class 2 : the symmetric case	p. 122
A myriad of Sierpinski curve Julia sets	p. 131
Compulsory asymptotic behavior of solutions of system of three discrete equations	p. 149
Nonoscillatory solutions for Emden-Fowler type difference equations	p. 159
The comparative index for conjoined bases of symplectic difference systems	p. 168
A renaissance for a q-umbral calculus	p. 178
Fourth-order Bessel-type special functions : a survey	p. 189
Laplacians and the Cheeger constants for discrete dynamical systems	p. 213
Algorithms around linear differential equations	p. 224
Stability of differential-difference systems with quadratic right-hand sides	p. 241
Characteristic algebras of discrete equations	p. 249
On the asymptotic behaviour of solutions of neuronic difference equations	p. 258
Perturbation of nonnegative time scale quadratic functionals	p. 266
Monotonicity of dynamical systems and their discretizations	p. 276
Construction of an integral manifold for a linear delay system	p. 286
Chaotic behavior in a two-dimensional business cycle model	p. 294
Multiscale expansion of the lattice Sine-Gordon equation	p. 305
Stability of delay difference and differential equations : similarities and distinctions	p. 315
Computer algebra methods for orthogonal polynomials	p. 325
Convergence to a period-two solution for a class of second order rational difference equations	p. 344
Two normal ordering problems and certain Sheffer polynomials	p. 354
Existence of solutions for even ordered boundary value problems on a time scale	p. 369
Asymptotics and zeros of symmetrically coherent pairs of Hermite type	p. 378
Asymptotic boundary value problems for discrete systems	p. 394
The limits of the solutions of a linear delay difference system	p. 404
Riemann-Hilbert problem for a generalized Nikishin system	p. 412
Inequalities and Turanians for some special functions	p. 422
Asymptotics in the complex plane of the third Painleve-transcendent	p. 432
Solutions of dynamic equations with varying time scales	p. 452
Totally discrete and Eulerian time scales	p. 462
A generalization of the discrete UC heirarchy and its reductions	p. 471
The Dichotomy character of [actual symbol not reproducible] with period-two coefficients	p. 480
Integral comparison theorems for second order linear dynamic equations	p. 497
Nonoscillations in odd order difference systems of mixed type	p. 507
Superintegrability and quasi-exact solvability : the anisotropic oscillator	p. 520
On the ergodic and special properties of generalized Boole transformations	p. 527
Fock representations for a quadratic commutation relation	p. 537
Chaotic discrete learning systems	p. 547
On the asymptotic behavior of the moments of solutions of stochastic difference equations	p. 557
Orthogonal polynomials and the Bezout identity	p. 566
Information entropy of Gegenbauer polynomials	p. 579
Higher genus affine Lie algebras of Krichever-Novikov type	p. 589
Asymptotic trichotomy of solutions of a class of even order nonlinear neutral difference equations with quasidifferences	p. 600
Critical groups for iterated maps	p. 610
Ideal turbulence and problems of its visualization	p. 617
Fine structure of the zeros of orthogonal polynomials : a review	p. 636
On the symmetries of integrable partial difference equations	p. 654
Heun functions versus elliptic functions	p. 664
Discrete Painleve equations for recurrence coefficients of orthogonal polynomials	p. 687
Orthogonal polynomials on R+ and birth-death processes with killing	p. 726
Computing topological invariants in boundary value problems reducible to difference equations	p. 741
Abel's method on summation by parts and bilateral well-poised 3[psi]3-series identities	p. 752
(2 + 1)-dimensional lattice hierarchies derived from discrete operator zero curvature equation	p. 762
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