Description

Book Synopsis
Covers recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, and moment differential equations.

Table of Contents
  • A. D. Bruno, Normal forms of a polynomial ODE
  • A. B. Batkhin, Computation of homological equations for Hamiltonian normal form
  • E. Ciechanowicz, A note on value distribution of solutions of certain second order ODEs
  • G. Filipuk, A. Ligeza, and A. Stokes, Relations between different Hamiltonian forms of the third Painleve equation
  • T. Aoki and S. Uchida, Degeneration structures of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
  • T. Oshima, Riemann-Liouville transform and linear differential equations on the Riemann sphere
  • M. Cafasso and S. Tarricone, The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
  • Y. Chen, G. Filipuk, and M. N. R. Rebocho, A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
  • S. Sasaki, S. Takagi, and K. Takemura, $q$-Heun equation and initial-value space of $q$-Painleve equation
  • H. Ogawara, Differential transcendence of solutions for $q$-difference equation of Ramanujan function
  • C. Zhang, On the positive powers of $q$-analogs of Euler series
  • M. Suwinska, Summability of formal solutions for a family of linear moment integro-differential equations
  • H. Tahara, Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
  • M. Yoshino, Solution with movable singular points of some Hamiltonian system
  • A. Lastra, S. Michalik, and M. Suwinska, Some notes on moment partial differential equations. Application to fractional functional equations.

    Recent Trends in Formal and Analytic Solutions of

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    A Paperback by Galina Filipuk, Alberto Lastra, Slawomir Michalik

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      View other formats and editions of Recent Trends in Formal and Analytic Solutions of by Galina Filipuk

      Publisher: MP-AMM American Mathematical
      Publication Date: 8/4/2023 12:00:00 AM
      ISBN13: 9781470466046, 978-1470466046
      ISBN10: 147046604X
      Also in:
      Calculus and mathematical analysis

      Description

      Book Synopsis
      Covers recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, $q$-difference equations, partial differential equations, and moment differential equations.

      Table of Contents
      • A. D. Bruno, Normal forms of a polynomial ODE
      • A. B. Batkhin, Computation of homological equations for Hamiltonian normal form
      • E. Ciechanowicz, A note on value distribution of solutions of certain second order ODEs
      • G. Filipuk, A. Ligeza, and A. Stokes, Relations between different Hamiltonian forms of the third Painleve equation
      • T. Aoki and S. Uchida, Degeneration structures of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
      • T. Oshima, Riemann-Liouville transform and linear differential equations on the Riemann sphere
      • M. Cafasso and S. Tarricone, The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
      • Y. Chen, G. Filipuk, and M. N. R. Rebocho, A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
      • S. Sasaki, S. Takagi, and K. Takemura, $q$-Heun equation and initial-value space of $q$-Painleve equation
      • H. Ogawara, Differential transcendence of solutions for $q$-difference equation of Ramanujan function
      • C. Zhang, On the positive powers of $q$-analogs of Euler series
      • M. Suwinska, Summability of formal solutions for a family of linear moment integro-differential equations
      • H. Tahara, Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
      • M. Yoshino, Solution with movable singular points of some Hamiltonian system
      • A. Lastra, S. Michalik, and M. Suwinska, Some notes on moment partial differential equations. Application to fractional functional equations.

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