Affiliation:
1. Institute of Mathematics, University of Szczecin, Poland
Abstract
Local solutions of Painlev? equations P1, P2, P4, as well as of the
equations S1, S2, S4 satisfied by their Hamiltonians, can be extended to
functions meromorphic in C. This way they become a point of interest for
value distribution theory. Distribution of values of solutions of P1, P2 and
P4 is already well described. In the paper we discuss mostly S1, S2 and S4
in this context. In particular, we pay attention to deficient, asymptotic
and ramified values of solutions of these equations.
Publisher
National Library of Serbia
Cited by
1 articles.
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1. A note on value distribution of solutions of certain second order ODEs;Recent Trends in Formal and Analytic Solutions of Diff. Equations;2023