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Asymptotic structure of solutions of a certain second order differential equation with an irregular singular point of arbitrary rank

In this master thesis, it is proposed to solve in the large thedifferential equationZ2(d2y/dz2) + z (dy/dz) (b0+b1zm) + (c0+c1zm)y = 0Here, m is an arbitrary positive integer, the variable z is complex as are the constants bi, ci (i = 0, 1). It is also assumed that the roots of the indicial equation about the regular singular point z=0 are such that their difference is incongruent to zero modulo m.

Identiferoai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:handle/182818
Date03 June 2011
CreatorsWade, William J.
ContributorsPuttaswamy, T. K.
Source SetsBall State University
Detected LanguageEnglish
Formatv, 18, [1] leaves ; 28 cm.
SourceVirtual Press

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