All Stories

  1. Multi-parameter laser modes in paraxial optics
  2. The Pauli–Lubański vector, complex electrodynamics, and photon helicity
  3. Solution of paraxial wave equation for inhomogeneous media in linear and quadratic approximation
  4. A Graphical Approach to a Model of a Neuronal Tree with a Variable Diameter
  5. The Riccati System and a Diffusion-Type Equation
  6. Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach II
  7. On the Problem of Electromagnetic-Field Quantization
  8. Spiral laser beams in inhomogeneous media
  9. WIGNER FUNCTION APPROACH TO OSCILLATING SOLUTIONS OF THE 1D-QUINTIC NONLINEAR SCHRÖDINGER EQUATION
  10. The minimum-uncertainty squeezed states for atoms and photons in a cavity
  11. On a hidden symmetry of quantum harmonic oscillators
  12. An analogue of the Berry phase for simple harmonic oscillators
  13. Reconstructing the Schrödinger groups
  14. Relativistic Coulomb Integrals and Zeilberger’s Holonomic Systems Approach. I
  15. Mathematics—An Open Access Journal
  16. Mathematics—An Open Access Journal
  17. An “Airy gun”: Self-accelerating solutions of the time-dependent Schrödinger equation in vacuum
  18. On integrability of nonautonomous nonlinear Schrödinger equations
  19. Soliton-like solutions for the nonlinear schrödinger equation with variable quadratic hamiltonians
  20. Dynamic invariants and the berry phase for generalized driven harmonic oscillators
  21. Exact wave functions for generalized harmonic oscillators
  22. The degenerate parametric oscillator and Ince's equation
  23. Quantum integrals of motion for variable quadratic Hamiltonians
  24. Dynamical invariants for variable quadratic Hamiltonians
  25. Relativistic Kramers–Pasternack recurrence relations
  26. Mathematical structure of relativistic Coulomb integrals
  27. Обращение времени для модифицированных осцилляторов
  28. Expectation values in relativistic Coulomb problems
  29. Models of damped oscillators in quantum mechanics
  30. Expansion of analytic functions in q-orthogonal polynomials
  31. Solution of the Cauchy problem for a time-dependent Schrödinger equation
  32. Propagator of a Charged Particle with a Spin in Uniform Magnetic and Perpendicular Electric Fields
  33. The Hahn polynomials in the nonrelativistic and relativistic Coulomb problems
  34. Preface
  35. Method of separation of the variables for basic analogs of equations of mathematical physics
  36. A Note on Completeness of Basic Trigonometric System in $L^2$
  37. Asymptotics of zeros of basic sine and cosine functions
  38. Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function
  39. An Introduction to Basic Fourier Series
  40. Introduction
  41. Completeness of Basic Trigonometric Systems
  42. Improved Asymptotics of Zeros
  43. Addition Theorems
  44. Investigation of Basic Fourier Series
  45. Some Expansions and Integrals
  46. Basic Exponential and Trigonometric Functions
  47. Introduction of Basic Fourier Series
  48. Suggestions for Further Work
  49. Numerical Investigation of Basic Fourier Series
  50. Some Expansions in Basic Fourier Series
  51. Some Expansions in Basic Fourier Series and Related Topics
  52. Special Functions 2000: Current Perspective and Future Directions
  53. Basic Exponential Functions on a q-Quadratic Grid
  54. Completeness of basic trigonometric system in ℒ^{
  55. Another addition theorem for the q -exponential function
  56. Numerical investigation of basic Fourier series
  57. Some orthogonal very well poised -functions
  58. Some summation theorems and transformations for $q$-series
  59. A unified approach to the summation and integration formulas for q-hypergeometric functions I
  60. On a general q-Fourier transformation with nonsymmetric kernels
  61. On classical orthogonal polynomials
  62. Barnes and Ramanujan-Type Integrals on the q -Linear Lattice
  63. The Pearson Equation and the Beta Integrals
  64. Theq-harmonic oscillator and the Al-Salam and Carlitz polynomials
  65. The q-harmonic oscillator and an analogue of the Charlier polynomials
  66. An Analog of the Fourier Transformation for A q-Harmonic Oscillator
  67. Classical biorthogonal rational functions
  68. On the Askey-Wilson polynomials
  69. Difference Hypergeometric Functions
  70. A realization fo the q-harmonic oscillator
  71. Classical Orthogonal Polynomials of a Discrete Variable
  72. Classical Orthogonal Polynomials
  73. Classical Orthogonal Polynomials of a Discrete Variable
  74. Hyperspherical Harmonics
  75. Classical Orthogonal Polynomials of a Discrete Variable and the Representations of the Rotation Group
  76. Classical Orthogonal Polynomials of a Discrete Variable on Nonuniform Lattices
  77. Classical Orthogonal Polynomials of a Discrete Variable in Applied Mathematics
  78. Difference analogs of the harmonic oscillator
  79. A correction
  80. The theory of difference analogues of special functions of hypergeometric type
  81. Classical orthogonal polynomials of a discrete variable continuous orthogonality relation
  82. Classical orthogonal polynomials of a discrete variable on nonuniform lattices
  83. Classical orthogonal polynomials of A discrete variable and representations of the three-dimensional rotation group
  84. The Hahn and Meixner polynomials of an imaginary argument and some of their applications
  85. An Analog of the Cauchy-Hadamard Formula for Expansions in q-Polynomials