Six of these potentials are solved in terms of the
confluent hypergeometric functions [1-6].
An alternative to this problem is to expand these solutions in terms of
confluent hypergeometric functions [27].
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The purpose of this paper is to analyze some features of this modification, namely the convergence properties of the modified asymptotic series and some techniques that can be used to compute the
confluent hypergeometric functions involved in the approximation.
with U and M
confluent hypergeometric functions, as described in Chapter 13 of Abramowitz and Stegun [1964].
The results are presented in terms of hypergeometric functions and
confluent hypergeometric functions. It is of interest to note that the
confluent hypergeometric function, M, yields the prior moment generating function of p from density (1).