, First, solve the dierential equation (L.1a) to work out p (l0) (c)
, Insert the obtained expression of p (l0) (c) in the right hand side of the radial Stokes equation (L.1c) and solve it to get v r
, Compute p I (l0) (c) and v I r, (l0) (c). Next, substitute their expressions into the right hand side of the polar Stokes equation (L.1d) and solve it to derive v ?
, To nish, solve separately the azimuthal Stokes equation (L.1e) to determine v ?, (l0) (c)
We then repeat the above solving process up to the moment we need to derive a new dierential equation satised by v ?, (lm) (c). Indeed, the polar Stokes equation (4, ?, ? ; zq : One key trait of 2 F 1 p?, ?, ? ; zq is that the above series (M.1) stops if either ? or ? is a negative integer, in which case it simply reduces to a z dependent polynomial of degree l ,
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