How do I invert the following,

 \[Rho]=r + b0 Sum[Pochhammer[1/2, k]/(k! ((1 - q) k - 1)), {k, 0, \[Infinity]}] + b0^(1 - q)/(2 q) r^q + O[r^(2 q - 1)]

to get $r(\rho)$? To note, $q<0$ and $b_{0}$ is some positive constant.

  • 2
    $\begingroup$ Have you tried InverseSeries? $\endgroup$ – Henrik Schumacher Jan 27 at 9:20
  • $\begingroup$ Yes, but it does not give any output. $\endgroup$ – user583893 Jan 27 at 13:23

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