Hello,
The need for the series resistor, in theory at least, is to reduce the resonant circuit Q factor, so that ringing does not occur. However, depending on the capacitor type for the 10u or 39u, the "equivalent series resistance" ESR intrinsic to the capacitor may well be more than sufficient. Aluminium electrolytics tend to have higher ESR than tantalum types, but check the datasheets.
However, with a "bulk" capacitor already present at the 5 volt input to the board, it would seem that neither the 10u nor the 39u capacitors would achieve much at all, and could be omitted. The one exception might be the reference input for the ADC (assuming this module is in use), retaining the 10u only, for reduction of lower frequency noise. This input would not be subject to wide current fluctuations for ringing to ever be an issue.
Regards,
Mac