Hamiltonian structure of pi hierarchy.
Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum.
Higher-order linear differential equations with solutions having a prescribed sequence of zeros and lying in the Dirichlet space
The aim of this paper is to consider the following three problems:i (1) for a given uniformly q-separated sequence satisfying certain conditions, find a coefficient function A(z) analytic in the unit disc such that f”’ + A(z)f = 0 possesses a solution having zeros precisely at the points of this sequence; (2) find necessary and sufficient conditions for the differential equation (*) in the unit disc to be Blaschke-oscillatory; (3) find sufficient conditions on the analytic coefficients of the...
Holomorphic foliations in having an invariant algebraic curve
We give estimations for the degree of separatrices of algebraic foliations in .
Holomorphic foliations in certain holomorphically convex domains of
Holomorphic solutions to linear first-order functional differential equations.
Hyperbolic Cauchy problem and Leray's residue formula
We give an algebraic description of (wave) fronts that appear in strictly hyperbolic Cauchy problems. A concrete form of a defining function of the wave front issued from the initial algebraic variety is obtained with the aid of Gauss-Manin systems satisfied by Leray's residues.
Hypersurfaces solutions d'une equation de Pfaff analytique.
Hypertranscendency of conjugacies in complex dynamics.