Abstract:
This thesis is concerned with the asymptotic solutions of the differential equationz(2) d(3)y/dz(3) + (a0z) d(2)y/dz(2) + [b0+b1z+b2z(2)] dy/dz + (c0+ c1z) y=0Here, the variable z is complex as are the constants ai, ci(i=O,1) and bi(i=O,1,2) with b2 does not equal 0. It is also assumed that the roots of the indicial equation about z = 0 are such that the difference of no two of them is congruent to zero modular 1.Ball State UniversityMuncie, IN 47306