Abstract
The problem of deriving Green-type asymptotic solutions from differential equations of general form d
2
y
/dz
2
=
X(a
2
>, z)y
, for large values of a
2
, is reformulated. Combination of this formulation with the method of Mellin transforms leads further to a particularly convenient procedure for finding asymptotic expansions valid in transitional regions, and general uniform expansions. The methods are illustrated by detailed calculations for modified Bessel functions.
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