I am working on a problem where I want to approximate a transcendental function of the form(adsbygoogle = window.adsbygoogle || []).push({});

[itex]f(x) = x^Ne^{x}[/itex] for [itex] x \geq 0[/itex] as a linear combination of functions of the form [itex] x^v \text{where} -1 < v < 0[/itex].

How can I find the basis functions of the desired form to represent my transcendental function as a finite linear combination?

If not, what would be approach to obtain finte approximate a transcendental function of the form above ?

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# Finding basis functions for approximating transcendental function

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