Description
Book SynopsisCovers 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.
