7th order Pade approximation of the partial derivative wrt \alpha of the Mittag-Leffler (t^\alpha)

7th order Pade approximation of the partial derivative wrt \alpha of the Mittag-Leffler (t^\alpha)

7th order Pade approximation of the partial derivative with respect to \alpha
of the single parameter Mittag-Leffler Function ,$dE_{\alpha}\over da)$ where the input scaler or vector, z, is negative and $0.05< \alpha <= 1$. Here, the MLF is defined as E_\alpha(D_alpha*q^2*t^\alpha). The polynomial coefficients lookup table are provided in the Matlab data files 'da_7th_order_coefficients.mat' and 'dz_7th_order_coefficients.mat' which needs to be loaded in your workspace to gives the parameter array variable called 'da_7th_order_coefficients' and 'dz_7th_order_coefficients'. The parameter t can be a scalar or vector quantity. The coefficients in the table are calculated for alpha values with precision of 0.001. For input alpha values that are specified with greater precision, the polynomial coefficients will be calculated by interpolation.
(C) 2015 Carson Ingo & Thomas R. Barrick