Recent Trends in Formal and Analytic Solutions of Diff. Equations

Galina Filipuk, University of Warsaw, Poland. Alberto Lastra, Universidad de Alcala, Madrid, Spain. Slawomir Michalik, Cardinal Stefan Wyszynsk University, Warszawa, Poland.

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.