It will be assumed in the following that x,y, and b are complex. When ν is an integer, results are given by means of which (1,1) can be evaluated in terms of elliptic integrals for all values of m for which it converges. In addition, when m≥ O, closed expressions involving associated Legendrefunctions of the second kind are given for (1.1) which hold for complex values of ν.
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