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Construction of the auxiliary functions for the value distribution of the fifth Painlevé transcendents in sectorial domains. (English) Zbl 1132.34336

The author presents a new method in order to handle the problem systematically and to construct the auxiliary function for the value distribution of the fifth Painlevé transcendents in sectorial domains.

MSC:

34M55 Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
32A22 Nevanlinna theory; growth estimates; other inequalities of several complex variables
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