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  Fractional derivatives Real part (left graphic) and imaginary part (right graphic) of the fractional derivatives of  .  Real part of the fractional derivatives of  over the  . Zeros of the continued fraction expansion Real parts of the poles of the first   terms of the continued fraction expansion of   in the  . As   increases from 0 to 60, the poles are colored from red to violet and cluster along the branch cuts. 
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