The lowest-order vacuum-polarization potential, known as Uehling potential, is expanded for a spherical charge distribution in a convergent form valid for all distances. The accuracy of this expansion is carefully examined at different distances. The ratios of the vacuum-polarization potentials of orders a(Za), a'(Za), a(Za)', a(Za)', and a(Za)' to the Coulomb potential for a point nucleus are also calculated and presented in figures for r ( 3.5%,. Several simple fitting curves are suggested.
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