By Valerii I. Gromak,Ilpo Laine,Shun Shimomura
This publication is the 1st accomplished remedy of Painlevé differential equations within the complicated aircraft. beginning with a rigorous presentation for the meromorphic nature in their options, the Nevanlinna conception can be utilized to supply an in depth exposition of progress elements and cost distribution of Painlevé transcendents. the following major a part of the ebook is dedicated to issues of classical heritage corresponding to representations and expansions of ideas, recommendations of exact style like rational and designated transcendental options, Bäcklund variations and better order analogues, handled individually for every of those six equations. the ultimate bankruptcy deals a brief evaluation of functions of Painlevé equations, together with an advent to their discrete opposite numbers. end result of the current vital position of Painlevé equations in actual purposes, this monograph can be of curiosity to researchers in either arithmetic and physics and to graduate scholars attracted to mathematical physics and the idea of differential equations.
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Additional info for Painlevé Differential Equations in the Complex Plane (De Gruyter Studies in Mathematics)
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Painlevé Differential Equations in the Complex Plane (De Gruyter Studies in Mathematics) by Valerii I. Gromak,Ilpo Laine,Shun Shimomura
by Mark
4.3
