Difference Equations, Special Functions And Orthogonal Polynomials - Proceedings Of The International Conference

Jim M Cushing, Saber N Elaydi, Rupert Lasser

• Publisher: World Scientific
• Year: 2007
• ISBN:
  9789812770752
• Topic: Biological Sciences
• Subtopic: Science General
• Index: Biological Sciences

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. Articles cover topics in difference equations, discrete dynamical systems, special functions, orthogonal polynomials, symmetries, and integrable difference equations.

Table of contents

• Contents
• Preface
• Pascal Matrix, Classical Polynomials and Difference Equations L. Aceto and D. Tngiante
• On the Ruelle Zeta Function of an Expanding Interval Map J. F. Alves and J. L. Fachada
• Difference Schemes for the Singularly Perturbed Sobolev Equations G. M. Amiraliyev and I. G. Amiraliyeva
• On Global Periodicity of x,+2 = f(x,+1, 2,) F. Balibrea and A . Linero
• Logarithmic Order and Type of Indeterminate Moment Problems C. Berg and H. L. Pedersen (with an Appendix by W. Hayman)
• A System of Biorthogonal Trigonometric Polynomials E. Berriochoa, A . Cachafeiro and J. Garcia-Amor
• Quasi Monomiality and Linearization Coefficients for Sheffer Polynomial Sets H. Chaggara
• d-orthogonal Polynomial Sets of Chebyshev Type Y. Ben Cheikh and N. Ben Romdhane
• On Two Problems in Lacunary Polynomial Interpolation M. G. de Bruin
• Semiclassical Linear F'unctionals of Class 2: The Symmetric Case A . M. Delgado and F. Marcelldn
• A Myriad of Sierpinski Curve Julia Sets R. L. Devaney
• Compulsory Asymptotic Behavior of Solutions of System of Three Discrete Equations J . Dabla% and I. R4ZiCkovd
• Nonoscillatory Solutions for Emden-Fowler Type Difference Equations M. Cecchi, 2. Do&& M. Marini and I. VrkoC
• The Comparative Index for Conjoined Bases of Symplectic Difference Systems J. V. Elyseeva
• A Renaissance for a q-umbra1 Calculus T. Ernst
• Fourth-order Bessel-type Special Functions: A Survey W. N. Everitt
• Laplacians and the Cheeger Constants for Discrete Dynamical Systems S. Fernandes, C. Gra'cio and J. Sousa Ramos
• Algorithms Around Linear Differential Equations A . Fredet
• Stability of Differential-Difference Systems with Quadratic Right-Hand Sides D. Khysainov and I. Grytsay
• Characteristic Algebras of Discrete Equations I. Habibullin
• On the Asymptotic Behaviour of Solutions of Neuronic Difference Equations Y. Hamaya
• Perturbation of Nonnegative Time Scale Quadratic Functionals R. Hilscher and V. R4.ZiEkova'
• Monotonicity of Dynamical Systems and Their Discretizations 2. Horva'th
• Construction of an Integral Manifold for a Linear Delay System K. R. Janglajew
• Chaotic Behavior in a Two-dimensional Business Cycle Model C. Janua'rio, C. Gra'cio and J. Sousa Ramos
• Multiscale Expansion of the Lattice sine-Gordon Equation X.-D. Ji, D. Levi and M. Petrera
• Stability of Delay Difference and Differential Equations: Similarities and Distinctions M. M. Kipnis and I. S. Levitskaya
• Computer Algebra Methods for Orthogonal Polynomials W. Koepf
• Convergence to a Period-two Solution for a Class of Second Order Rational Difference Equations M. R. S. KulenoviC and 0. Merino
• Two Normal Ordering Problems and Certain Sheffer Polynomials W. Lang
• Existence of Solutions for Even Ordered Boundary Value Problems on a Time Scale J. Henderson and B. A . Lawrence
• Asymptotics and Zeros of Symmetrically Coherent Pairs of Hermite Type M. G. De Bruin, W. G. M. Groenevelt, F. Marcelldn, H. G. Meijer and J. J. Moreno-Balcdzar
• Asymptotic Boundary Value Problems for Discrete Systems M. Marini, S. Matucci and P. Rehdk
• The Limits of the Solutions of a Linear Delay Difference System H. Matsunaga
• Riemann-Hilbert Problem for a Generalized Nikishin System A . F. Moreno
• Inequalities and Turhians for Some Special Functions A . Laforgia and P. Natalini
• Asymptotics in the Complex Plane of the Third Painlev6 Transcendent V. Yu. Novokshenov
• Solutions of Dynamic Equations with Varying Time Scales B. A . Lawrence and R. W. Oberste-Vorth
• Totally Discrete and Eulerian Time Scales K . J. Hall and R. W. Oberste-Vorth
• A Generalization of the Discrete UC Heirarchy and Its Reductions Y. Ohta
• The Dichotomy Character of z,+1 = PnXn+Ynxn-l with Period-two Coefficients C. H. Gibbons, S. Kalabuiic' and C. B. Overdeep
• Integral Comparison Theorems for Second Order Linear Dynamic Equations L. Erbe, A . Peterson and P. Reha'k
• Nonoscillations in Odd Order Difference Systems of Mixed Type S. Pinelas
• Superintegrability and Quasi-exact Solvability. The Anisotropic Oscillator G. S. Pogosyan
• On the Ergodic and Special Properties of Generalized Boole Transformations A . K. Prykarpatsky and J. Feldman
• Fock Representations for a Quadratic Commutation Relation C. Correia Ramos, N. Martins and J. Sousa Ramos
• Chaotic Discrete Learning Systems M. Merces Ramos and P. Sarreira
• On the Asymptotic Behavior of the Moments of Solutions of Stochastic Difference Equations J. Appleby, G. Berkolaiko and A. Rodkina
• Orthogonal Polynomials and the Bezout Identity A . Ronveaux, A . Zarzo, I. Area and E. Godoy
• Information Entropy of Gegenbauer Polynomials J. I. de Vicente, S. Gandy and J. Scinchez-Ruiz
• Higher Genus Affine Lie Algebras of Krichever-Novikov Type M. Schlichenmaier
• Asymptotic Trichotomy of Solutions of a Class of Even Order Nonlinear Neutral Difference Equations with Quasidifferences E. Schmeidel
• Critical Groups for Iterated Maps C. Correia Ramos, N . Martins, R. Severino and J. Sousa Ramos
• Ideal Turbulence and Problems of Its Visualization A . N . Sharkovsky
• Fine Structure of the Zeros of Orthogonal Polynomials: A Review B. Simon
• On the Symmetries of Integrable Partial Difference Equations A . Tongas
• Heun Functions versus Elliptic Functions G. Valent
• Discrete PainlevQ Equations for Recurrence Coefficients of Orthogonal Polynomials W. Van Assche
• Orthogonal Polynomials on R+ and Birth-Death Processes with Killing P. Coolen-Schrijner and E. A . van Doom
• Computing Topological Invariants in Boundary Value Problems Reducible to Difference Equations R. Severino, A . Sharkovsky, J. Sousa Ramos and S. Vinagre
• Abel’s Method on Summation by Parts and Bilateral Well-poised yJ~s-series Identities W. C. Chu
• (2 + 1)-dimensional Lattice Hierarchies Derived from Discrete Operator Zero Curvature Equation 2.-N. Zhu