Abstract
Symmetric standard elliptic integrals are considered when two or three of their variables are large without any prescribed asymptotic relation between them. The analytic continuation method is used for deriving seven expansions of these integrals in inverse powers of the asymptotic parameters. These expansions are uniformly convergent when the asymptotic parameters are greater than the remaining ones. All of the expansions are accompanied by an error bound at any order of the approximation.
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