In this thesis, it is contemplated to study the asymptotic behaviour of the solutions of the differential equationz2d2y + z(bo +b1zm ) dy +(co + c1zm + c2 z2m)y =0 (1) dz2 dzHere m is a positive integer, the variable z is regarded complex as are the constants bi(i=0,1) and ci(i=0,1,2) with c2 ≠ 0. Then in the language of Fuch's theory the differential equation (1) will have a regular singular point at z=0 and an irregular singular point at z=θ. The indicial equation about z=0 is found to beh(h-1) + boh + co = 0(2)It is also assumed that the difference of the roots of (2) are incongruent to zero modulo m.Ball State UniversityMuncie, IN 47306
| Identifer | oai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:handle/181943 |
| Date | 03 June 2011 |
| Creators | Zvimba, Charles Muchazoziva |
| Contributors | Puttaswamy, T. K. |
| Source Sets | Ball State University |
| Detected Language | English |
| Format | 28 leaves ; 28 cm. |
| Source | Virtual Press |
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