Potential problems and capacitance for a conductor bounded by two intersecting spheres
Chester Snow · Journal of research of the National Bureau of Standards · 1949
Formal expressions, as series and integra ls, are derived for t he extern al potential, which takes on assigned values on t he two spheri cal boundar y surfaces-eit her when t he body is alone or when it is in any given axia ll y symmet ric elec trostatic fi eld . T hi s is] effec ted by r ep resenting a given fu nctio n f(x), for 1 < x < 00, as a complex integra l whose variabJe is t he pa r a m eter J1. of a Legendre fu nction p "_y,(x) or Q "_~(x).