معادلات تفاضلی، توابع خاص و چندجمله‌ای‌های متعامد ۲۰۰۷
Difference Equations, Special Functions and Orthogonal Polynomials 2007

1. Contents

2. Preface

3. Pascal Matrix, Classical Polynomials and Difference Equations L. Aceto and D. Tngiante

4. On the Ruelle Zeta Function of an Expanding Interval Map J. F. Alves and J. L. Fachada

5. Difference Schemes for the Singularly Perturbed Sobolev Equations G. M. Amiraliyev and I. G. Amiraliyeva

6. On Global Periodicity of x,+2 = f(x,+1, 2,) F. Balibrea and A . Linero

7. Logarithmic Order and Type of Indeterminate Moment Problems C. Berg and H. L. Pedersen (with an Appendix by W. Hayman)

8. A System of Biorthogonal Trigonometric Polynomials E. Berriochoa, A . Cachafeiro and J. Garcia-Amor

9. Quasi Monomiality and Linearization Coefficients for Sheffer Polynomial Sets H. Chaggara

10. d-orthogonal Polynomial Sets of Chebyshev Type Y. Ben Cheikh and N. Ben Romdhane

11. On Two Problems in Lacunary Polynomial Interpolation M. G. de Bruin

12. Semiclassical Linear F'unctionals of Class 2: The Symmetric Case A . M. Delgado and F. Marcelldn

13. A Myriad of Sierpinski Curve Julia Sets R. L. Devaney

14. Compulsory Asymptotic Behavior of Solutions of System of Three Discrete Equations J . Dabla% and I. R4ZiCkovd

15. Nonoscillatory Solutions for Emden-Fowler Type Difference Equations M. Cecchi, 2. Do&& M. Marini and I. VrkoC

16. The Comparative Index for Conjoined Bases of Symplectic Difference Systems J. V. Elyseeva

17. A Renaissance for a q-umbra1 Calculus T. Ernst

18. Fourth-order Bessel-type Special Functions: A Survey W. N. Everitt

19. Laplacians and the Cheeger Constants for Discrete Dynamical Systems S. Fernandes, C. Gra'cio and J. Sousa Ramos

20. Algorithms Around Linear Differential Equations A . Fredet

21. Stability of Differential-Difference Systems with Quadratic Right-Hand Sides D. Khysainov and I. Grytsay

22. Characteristic Algebras of Discrete Equations I. Habibullin

23. On the Asymptotic Behaviour of Solutions of Neuronic Difference Equations Y. Hamaya

24. Perturbation of Nonnegative Time Scale Quadratic Functionals R. Hilscher and V. R4.ZiEkova'

25. Monotonicity of Dynamical Systems and Their Discretizations 2. Horva'th

26. Construction of an Integral Manifold for a Linear Delay System K. R. Janglajew

27. Chaotic Behavior in a Two-dimensional Business Cycle Model C. Janua'rio, C. Gra'cio and J. Sousa Ramos

28. Multiscale Expansion of the Lattice sine-Gordon Equation X.-D. Ji, D. Levi and M. Petrera

29. Stability of Delay Difference and Differential Equations: Similarities and Distinctions M. M. Kipnis and I. S. Levitskaya

30. Computer Algebra Methods for Orthogonal Polynomials W. Koepf

31. Convergence to a Period-two Solution for a Class of Second Order Rational Difference Equations M. R. S. KulenoviC and 0. Merino

32. Two Normal Ordering Problems and Certain Sheffer Polynomials W. Lang

33. Existence of Solutions for Even Ordered Boundary Value Problems on a Time Scale J. Henderson and B. A . Lawrence

34. 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

35. Asymptotic Boundary Value Problems for Discrete Systems M. Marini, S. Matucci and P. Rehdk

36. The Limits of the Solutions of a Linear Delay Difference System H. Matsunaga

37. Riemann-Hilbert Problem for a Generalized Nikishin System A . F. Moreno

38. Inequalities and Turhians for Some Special Functions A . Laforgia and P. Natalini

39. Asymptotics in the Complex Plane of the Third Painlev6 Transcendent V. Yu. Novokshenov

40. Solutions of Dynamic Equations with Varying Time Scales B. A . Lawrence and R. W. Oberste-Vorth

41. Totally Discrete and Eulerian Time Scales K . J. Hall and R. W. Oberste-Vorth

42. A Generalization of the Discrete UC Heirarchy and Its Reductions Y. Ohta

43. The Dichotomy Character of z,+1 = PnXn+Ynxn-l with Period-two Coefficients C. H. Gibbons, S. Kalabuiic' and C. B. Overdeep

44. Integral Comparison Theorems for Second Order Linear Dynamic Equations L. Erbe, A . Peterson and P. Reha'k

45. Nonoscillations in Odd Order Difference Systems of Mixed Type S. Pinelas

46. Superintegrability and Quasi-exact Solvability. The Anisotropic Oscillator G. S. Pogosyan

47. On the Ergodic and Special Properties of Generalized Boole Transformations A . K. Prykarpatsky and J. Feldman

48. Fock Representations for a Quadratic Commutation Relation C. Correia Ramos, N. Martins and J. Sousa Ramos

49. Chaotic Discrete Learning Systems M. Merces Ramos and P. Sarreira

50. On the Asymptotic Behavior of the Moments of Solutions of Stochastic Difference Equations J. Appleby, G. Berkolaiko and A. Rodkina

51. Orthogonal Polynomials and the Bezout Identity A . Ronveaux, A . Zarzo, I. Area and E. Godoy

52. Information Entropy of Gegenbauer Polynomials J. I. de Vicente, S. Gandy and J. Scinchez-Ruiz

53. Higher Genus Affine Lie Algebras of Krichever-Novikov Type M. Schlichenmaier

54. Asymptotic Trichotomy of Solutions of a Class of Even Order Nonlinear Neutral Difference Equations with Quasidifferences E. Schmeidel

55. Critical Groups for Iterated Maps C. Correia Ramos, N . Martins, R. Severino and J. Sousa Ramos

56. Ideal Turbulence and Problems of Its Visualization A . N . Sharkovsky

57. Fine Structure of the Zeros of Orthogonal Polynomials: A Review B. Simon

58. On the Symmetries of Integrable Partial Difference Equations A . Tongas

59. Heun Functions versus Elliptic Functions G. Valent

60. Discrete PainlevQ Equations for Recurrence Coefficients of Orthogonal Polynomials W. Van Assche

61. Orthogonal Polynomials on R+ and Birth-Death Processes with Killing P. Coolen-Schrijner and E. A . van Doom

62. Computing Topological Invariants in Boundary Value Problems Reducible to Difference Equations R. Severino, A . Sharkovsky, J. Sousa Ramos and S. Vinagre

63. Abel’s Method on Summation by Parts and Bilateral Well-poised yJ~s-series Identities W. C. Chu

64. (2 + 1)-dimensional Lattice Hierarchies Derived from Discrete Operator Zero Curvature Equation 2.-N. Zhu