Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation /

• Main Author: Delabaere, Eric (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2155
• Subjects: Mathematics.; Functions of complex variables.; Differential equations.; Sequences (Mathematics).; Special functions.; Sequences, Series, Summability.; Ordinary Differential Equations.; Functions of a Complex Variable.; Special Functions.

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation...