Given a -3dB/ octave filter that makes Pink Noise, how can I make a +3dB/ octave filter that makes Blue/ Azure Noise? I learnt from here that the following filter can turn white noise into pink (-3dB/ octave).
  b0 = 0.99765 * b0 + white * 0.0990460;
  b1 = 0.96300 * b1 + white * 0.2965164;
  b2 = 0.57000 * b2 + white * 1.0526913;
  pink = b0 + b1 + b2 + white * 0.1848;

How would I turn white noise into blue/ azure noise (+3dB/ octave)?  Is it possible to do some simple 'inversion' on this filter or can you please give me a tip as to how I can calculate the filter coefficients.
EDIT
I probably should have mentioned that I need a C++ implementation but Robert's 2nd answer has me close.
Right now I do this in the header:
float *state = nullptr;
The in the implementation file:
state = new float[0.0]; in the constructor then inside the actual loop I take my white noise and do this:
float first = first_order_filter(whiteNoise, 0.99572754, 0.98443604, state);
float second = first_order_filter(first, 0.94790649, 0.83392334, state);
float third = first_order_filter(second, 0.53567505, 0.07568359, state);
out1 = third;

I am expecting pink noise as I have not yet swapped the Poles and Zeros (if I had then I would expect blue/ azure noise) but currently I get what looks and sounds like white noise.
You need to invert the filter, i.e. flip the poles and zeros.
The implementation that you reference is fairly awkward and will require a decent amount of math work to invert: you need to write the Z-transform for each first order section, add all the fractions into a single fraction and calculate the zeros of numerator polynomial.
An easier way would be to use this implementation https://ccrma.stanford.edu/~jos/sasp/Example_Synthesis_1_F_Noise.html and simply swap $A$ and $B$