Overview

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.Contents: Pascal Matrix, Classical Polynomials and Difference Equations (L Aceto & D Trigiante) Logarithmic Order and Type of Indeterminate Moment Problems (C Berg & H L Pedersen) A System of Biorthogonal Trigonometric Polynomials (E Berriochoa et al.) On Two Problems in Lacunary Polynomial Interpolation (M G de Bruin) A Myriad of Sierpinski Curve Julia Sets (R L Devaney) The Comparative Index for Conjoined Bases of Symplectic Difference Systems (J V Elyseeva) A Renaissance for a q -Umbral Calculus (T Ernst) Fourth-Order Bessel-Type Special Functions: A Survey (W N Everitt) On the Asymptotic Behavior of Solutions of Neuronic Difference Equations (Y Hamaya) Computer Algebra Methods for Orthogonal Polynomials (W Koepf) Riemann-Hilbert Problem for a Generalized Nikishin System (A F Moreno) Ideal Turbulence and Problems of Its Visualization (A N Sharkovsky) Fine Structure of the Zeros of Orthogonal Polynomials: A Review (B Simon) (2+1) Dimensional Lattice Hierarchies Derived from Discrete Operator Zero Curvature Equation (Z-N Zhu) and other papersReadership: Researchers in analysis and differential equations, approximation theory and mathematical physics.

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