Divergent Series, Summability and Resurgence III

515.24

Delabaere, Eric. Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation / by Eric Delabaere. -
XXII, 230 p. 35 illus., 14 illus. in color. online resource. - (Lecture Notes in Mathematics, 2155) Content notes : Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index. 9783319290003 * Sequences (Mathematics). Differential Equations. Functions of complex variables. Functions, special. Sequences, Series, Summability. Ordinary Differential Equations. Functions of a Complex Variable. Special Functions. * Series