Talk:Padé table

Misleading example[edit]

I think the example using the exponential function is a bit misleading. It states for example

Similarly, the first row contains the reciprocals of successive truncations of the series expansion of e−z.

The approximants Rm,n and Rn,m are quite symmetrical ...

which is true for the Pade table of the exponential function, but only because of the special property of the exponential, namely that 1/exp(z)=exp(-z). Since Pade tables in general are discussed here, and not special properties of the exponential function, I think this should be removed. Otherwise, it might make people think that this would hold for Pade tables in general. 134.169.77.186 (talk) 11:43, 27 April 2009 (UTC) (ezander)[reply]

These are good points, but I think it would be better to keep this example and add a second example that is more representative of what typically happens. The Padé approximant article has some examples. Perhaps one of them could be expanded into a full table. Will Orrick (talk) 20:44, 26 November 2022 (UTC)[reply]

curious convention[edit]

A function f(z) is represented by a formal power series: [...] where c₀ ≠ 0, by convention.

Eh? What about, say, the sine function? —Tamfang (talk) 08:07, 14 November 2010 (UTC)[reply]