# Tag Info

Accepted

### Series expansion not working with $\sqrt{1-x^d}$

Perhaps this?: Asymptotic[Sqrt[(1 - u)], {u, 0, 2}] /. u -> x^d (* 1 - x^d/2 - x^(2 d)/8 *) If we examine the output of ...
• 237k

### Series expansion of a given function

I am not sure why this is happening, but here's a quick fix. Do a replacement $\xi_3 \rightarrow \tfrac{1}{x_3}$ and then expand around $\infty$. ...
• 16.1k
Accepted

### Getting coefficients list of a series expansion at a point different from 0

One way is to do the following: expand to whatever order you want, and subsequently substitute $x-1$ by $y$. Do CoefficientList in the ...
• 16.1k

### Series expansion of a given function

Use Assuming. ...
• 1,471

### Series expansion not working with $\sqrt{1-x^d}$

Since the expansion is at an analytic point of the function, the power series is a Taylor expansion: $$S(x)=\sum_{n=0}^{\infty} \frac{\frac{d^n}{dx}(1-x^d)^{1/2}}{n!}x^n$$ However when $d$ is ...
• 2,432
1 vote
Accepted

### Find radius of convergence for two series product

For any complex analytic function the radius of convergency of its series expansion around a point $z_0$ is the distance to the nearest singularity. So by complex analytical combinations of two or ...
• 3,887

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