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 ODEA. B. Batkhin, Computation of homological equations for Hamiltonian normal formE. Ciechanowicz, A note on value distribution of solutions of certain second order ODEsG. Filipuk, A. Ligeza, and A. Stokes, Relations between different Hamiltonian forms of the third Painleve equationT. Aoki and S. Uchida, Degeneration structures of the Voros coefficients of the generalized hypergeometric differential equations with a large parameterT. Oshima, Riemann-Liouville transform and linear differential equations on the Riemann sphereM. Cafasso and S. Tarricone, The Riemann-Hilbert approach to the generating function of the higher order Airy point processesY. Chen, G. Filipuk, and M. N. R. Rebocho, A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weightS. Sasaki, S. Takagi, and K. Takemura, $q$-Heun equation and initial-value space of $q$-Painleve equationH. Ogawara, Differential transcendence of solutions for $q$-difference equation of Ramanujan functionC. Zhang, On the positive powers of $q$-analogs of Euler seriesM. Suwinska, Summability of formal solutions for a family of linear moment integro-differential equationsH. Tahara, Uniqueness of the solution of some nonlinear singular partial differential equations of the second orderM. Yoshino, Solution with movable singular points of some Hamiltonian systemA. Lastra, S. Michalik, and M. Suwinska, Some notes on moment partial differential equations. Application to fractional functional equations.