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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

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attempt improve rational approximation against Pade aproximation

I try to improve the approximation of the exponential function, using orthogonal function as BesselI , it seems that it is better than Pade approximation with the same number of terms $$e^z-\frac{2 I …
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