Difference Equations, Special Functions and Orthogonal Polynomials: Proceedings of the International Conference, Munich, Germany, 25-30 July 2005World Scientific, 2007 - 773 páginas 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. |
Contenido
Pascal Matrix Classical Polynomials and Difference Equations L Aceto and D Tngiante | 1 |
On the Ruelle Zeta Function of an Expanding Interval Map J F Alves and J L Fachada | 17 |
Difference Schemes for the Singularly Perturbed Sobolev Equations G M Amiraliyev and I G Amiraliyeva | 23 |
On Global Periodicity of x+2 fx+1 2 F Balibrea and A Linero | 41 |
Logarithmic Order and Type of Indeterminate Moment Problems C Berg and H L Pedersen with an Appendix by W Hayman | 51 |
A System of Biorthogonal Trigonometric Polynomials E Berriochoa A Cachafeiro and J GarciaAmor | 80 |
Quasi Monomiality and Linearization Coefficients for Sheffer Polynomial Sets H Chaggara | 90 |
dorthogonal Polynomial Sets of Chebyshev Type Y Ben Cheikh and N Ben Romdhane | 100 |
Asymptotic Boundary Value Problems for Discrete Systems M Marini S Matucci and P Rehdk | 394 |
The Limits of the Solutions of a Linear Delay Difference System H Matsunaga | 404 |
RiemannHilbert Problem for a Generalized Nikishin System A F Moreno | 412 |
Inequalities and Turhians for Some Special Functions A Laforgia and P Natalini | 422 |
Asymptotics in the Complex Plane of the Third Painlev6 Transcendent V Yu Novokshenov | 432 |
Solutions of Dynamic Equations with Varying Time Scales B A Lawrence and R W ObersteVorth | 452 |
Totally Discrete and Eulerian Time Scales K J Hall and R W ObersteVorth | 462 |
A Generalization of the Discrete UC Heirarchy and Its Reductions Y Ohta | 471 |
On Two Problems in Lacunary Polynomial Interpolation M G de Bruin | 112 |
The Symmetric Case A M Delgado and F Marcelldn | 122 |
A Myriad of Sierpinski Curve Julia Sets R L Devaney | 131 |
Compulsory Asymptotic Behavior of Solutions of System of Three Discrete Equations J Dabla and I R4ZiCkovd | 149 |
Nonoscillatory Solutions for EmdenFowler Type Difference Equations M Cecchi 2 Do M Marini and I VrkoC | 159 |
The Comparative Index for Conjoined Bases of Symplectic Difference Systems J V Elyseeva | 168 |
A Renaissance for a qumbra1 Calculus T Ernst | 178 |
A Survey W N Everitt | 189 |
Laplacians and the Cheeger Constants for Discrete Dynamical Systems S Fernandes C Gracio and J Sousa Ramos | 213 |
Algorithms Around Linear Differential Equations A Fredet | 224 |
Stability of DifferentialDifference Systems with Quadratic RightHand Sides D Khysainov and I Grytsay | 241 |
Characteristic Algebras of Discrete Equations I Habibullin | 249 |
On the Asymptotic Behaviour of Solutions of Neuronic Difference Equations Y Hamaya | 258 |
Perturbation of Nonnegative Time Scale Quadratic Functionals R Hilscher and V R4ZiEkova | 266 |
Monotonicity of Dynamical Systems and Their Discretizations 2 Horvath | 276 |
Construction of an Integral Manifold for a Linear Delay System K R Janglajew | 286 |
Chaotic Behavior in a Twodimensional Business Cycle Model C Januario C Gracio and J Sousa Ramos | 294 |
Multiscale Expansion of the Lattice sineGordon Equation XD Ji D Levi and M Petrera | 305 |
Similarities and Distinctions M M Kipnis and I S Levitskaya | 315 |
Computer Algebra Methods for Orthogonal Polynomials W Koepf | 325 |
Convergence to a Periodtwo Solution for a Class of Second Order Rational Difference Equations M R S KulenoviC and 0 Merino | 344 |
Two Normal Ordering Problems and Certain Sheffer Polynomials W Lang | 354 |
Existence of Solutions for Even Ordered Boundary Value Problems on a Time Scale J Henderson and B A Lawrence | 369 |
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... | 378 |
The Dichotomy Character of z+1 PnXn+Ynxnl with Periodtwo Coefficients C H Gibbons S Kalabuiic and C B Overdeep | 480 |
Integral Comparison Theorems for Second Order Linear Dynamic Equations L Erbe A Peterson and P Rehak | 497 |
Nonoscillations in Odd Order Difference Systems of Mixed Type S Pinelas | 507 |
Superintegrability and Quasiexact Solvability The Anisotropic Oscillator G S Pogosyan | 520 |
On the Ergodic and Special Properties of Generalized Boole Transformations A K Prykarpatsky and J Feldman | 527 |
Fock Representations for a Quadratic Commutation Relation C Correia Ramos N Martins and J Sousa Ramos | 537 |
Chaotic Discrete Learning Systems M Merces Ramos and P Sarreira | 547 |
On the Asymptotic Behavior of the Moments of Solutions of Stochastic Difference Equations J Appleby G Berkolaiko and A Rodkina | 557 |
Orthogonal Polynomials and the Bezout Identity A Ronveaux A Zarzo I Area and E Godoy | 566 |
Information Entropy of Gegenbauer Polynomials J I de Vicente S Gandy and J ScinchezRuiz | 579 |
Higher Genus Affine Lie Algebras of KricheverNovikov Type M Schlichenmaier | 589 |
Asymptotic Trichotomy of Solutions of a Class of Even Order Nonlinear Neutral Difference Equations with Quasidifferences E Schmeidel | 600 |
Critical Groups for Iterated Maps C Correia Ramos N Martins R Severino and J Sousa Ramos | 610 |
Ideal Turbulence and Problems of Its Visualization A N Sharkovsky | 617 |
A Review B Simon | 636 |
On the Symmetries of Integrable Partial Difference Equations A Tongas | 654 |
Heun Functions versus Elliptic Functions G Valent | 664 |
Discrete PainlevQ Equations for Recurrence Coefficients of Orthogonal Polynomials W Van Assche | 687 |
Orthogonal Polynomials on R+ and BirthDeath Processes with Killing P CoolenSchrijner and E A van Doom | 726 |
Computing Topological Invariants in Boundary Value Problems Reducible to Difference Equations R Severino A Sharkovsky J Sousa Ramos and S ... | 741 |
Abels Method on Summation by Parts and Bilateral Wellpoised yJsseries Identities W C Chu | 752 |
2 + 1dimensional Lattice Hierarchies Derived from Discrete Operator Zero Curvature Equation 2N Zhu | 762 |
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Términos y frases comunes
A. N. Sharkovsky Appl apply asymptotic bifurcations boundary c₁ Cantor set central extensions compute consider constant converges corresponding defined denote difference equations discrete Painlevé domain dynamical systems E-mail eigenvalue elliptic entire functions exists exponential fa,b finite fixed point formula given Hence Hermite polynomials hypergeometric inequality initial conditions integral interval invariant Julia set lattice Lemma Lie algebra linear differential equations linear functional logarithmic order logr Math Mathematics matrix monotone nonlinear nonnegative nonoscillatory obtain operator orthogonal polynomials Painlevé equations parameter Pascal matrix periodic Phys Pn(x positive problem Proof properties quadratic recurrence relation representation result satisfies scale Section sequence Sierpinski curve solutions space symmetric Theorem 2.1 theory tion topological entropy variable vector Xn+1 zeros