Propagation of Regular Singularities in a Complex Analytic Characteristic Initial Value Problem

MR3221842 Toru TSUTSUI Toru TSUTSUI Propagation of Regular Singularities in a Complex Analytic Characteristic Initial Value Problem Funkcialaj Ekvacioj. Serio Internacia 57 2014 119--161 http://fe.math.kobe-u.ac.jp/FE/FullPapers/57-1/57_119.pdf http://www.ams.org/mathscinet-getitem?mr=MR3221842 We consider a characteristic initial value problem of a class of second order linear partial differential equation with regular singular initial data in the complex domain. We express the solution by means of series of hypergeometric functions, and clarify the behavior of the solution near the singularities. Our construction owes much to the contiguity relations of hypergeometric functions. Initial value problem, Regular singularity, Hypergeometric function. 35A20, 33C05. 57-119 2014 Propagation of Regular Singularities in a Complex Analytic Characteristic Initial Value Problem Toru TSUTSUI Toru TSUTSUI

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