When using the simplified version of the DoF equations (valid on non-macro applications where focal length << focus distance), the effect of focus distance cancels in the equations and the equivalent DoF of the crop can be easily calculated multiplying the f-number by the native/cropped focal length ratio:

By applying this approximation to the Leica Q3 (Summilux
28mm f/1.7) crop modes we get the following equivalent DoF's:
- 35mm crop (39Mpx): 1.7*35/28=2.1 -> the crop's DoF is equivalent to a 35mm f/2.1
- 50mm crop (19Mpx): 1.7*50/28=3.0 -> the crop's DoF is equivalent to a 50mm f/3.0
- 75mm crop (8Mpx): 1.7*75/28=4.6 -> the crop's DoF is equivalent to a 75mm f/4.6
- 90mm crop (6Mpx): 1.7*90/28=5.5 -> the crop's DoF is equivalent to a 90mm f/5.5
Regards