How to calculate primary, secondary, and auxiliary inductance of this transfromer?
The primary has an inductance of 38 uH and couples to the secondaries with a turns ratio of 2:1 and 2:1.1. The 2:1 coupling means that the secondary inductance is \$(1:2)^2\$ x 38 uH = 9.5 uH. The other secondary has a turns ratio slightly less (2:1.1) and therefore has an inductance of 11.5 uH.

You use the square of the turns ratio to gather inductance values for unspecified windings.

The leakage inductance for each secondary is specified as 0.47 uH.