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Solution in the large of a certain second order differential equation containing arbitrarily many singular points

In order to introduce the study undertaken in this thesis, let us consider the differential equationz2 (μ 2 - 2μ zm + z2m) d2y/dz2 + z (b0 + b1zm + b2z2m) dy/dz+ (c0 + c1zm + c2z2m) y = 0The variable z and he coefficients μ, bi, ci (i = 0, 1, 2) are regarded as complex and m is an arbitrary positive integer. It is also assumed that b0 + b1u + b2p2 = 0 and that the difference of the two roots of the indicial equation about z = 0 is not congruent to zero modulo m.

Identiferoai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:handle/182746
Date03 June 2011
CreatorsRichardson, Michael
ContributorsPuttaswamy, T. K.
Source SetsBall State University
Detected LanguageEnglish
Formatii, 52 leaves ; 28 cm.
SourceVirtual Press

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