Calculation of Univariate Pade Approximants for solutions of the Michaelis-Menten equation with first order input using the Tau method

In this paper the Jacobi formula is used to recursively generate (diagonal) univariate Pade approximants using the Tau method for solutions Michaelis-Menten equation with first order input. In the algorithm the Jacobi coefficients and error terms in the Tau method are postulated to have a particular form, and this form is maintained by specific patterns of cancellations.