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How to find poles and zeroes in this kind of transfer function?

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How do I find poles and zeroes from this complex transfer function?

$$H(s) = \frac{2959}{100\,s} - \frac{ 171\, \Gamma\left( \frac{7447}{10000} \right)} {200\, s^{7447/10000}}$$

I used the Laplace transform function in MATLAB and am trying to create a Bode plot using other functions. I believe if the order of a pole is not integer (1, 2, 3, ...) then I can't plot this with MATLAB's built-in functions, but can use another integrated toolbox like FOMCON available in MATLAB.

I searched online and I found that I could use the FOMCON toolbox, but I need to properly convert this into a form where I can find poles and zeroes; then I can provide input to the tool to create the Bode plot. Can anyone advise?

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