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Approximation for complex variables

One place to start looking might be Trefethen's work, in particular Chebfun and the rational approximation AAA, as discussed in this retrospective:
JCK's user avatar
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2 votes

Converting an algebraic equation into a ODE

Disclaimer: I am not sure I understand what you mean by "algebraic equation". I don't know if you really mean functions that are expressible as roots of a polynomial equation. If that's the ...
Willie Wong's user avatar
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3 votes

Are the coefficients in the stationary phase approximation computed explicitly somewhere

The following is mostly adapted from [1] (I am the second co-author). Suppose $$ \psi(x) \sim x^{-1+\beta/\rho} \sum_{j=0}^{\infty} \psi_j x^{j/\rho}, \quad \phi(x) \sim x^{s/\rho} \sum_{j=0}^{\infty} ...
James's user avatar
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