# Tagged Questions

**-3**

votes

**0**answers

20 views

### Question about Big O notation for asymptotic behavior in convergent power series [migrated]

Examples of such use of Big O notation can be found for instance on Wolfram Alpha here. More details on the Wikipedia page.
The idea, as I understand it, is that the term between parenthesis in Big O ...

**3**

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**0**answers

111 views

### derivatives of composite function [closed]

There's a formula for the $n$th derivative of a composite function $f(g(x))$ - it's called Faa di Bruno's formula - but I'm not really interested in the formula but in the proof given in the book of ...

**0**

votes

**1**answer

382 views

### construct a power series with infinitely many zeros in the complex plane, bounded coefficients???

Hi all.
I want to construct a power series $F(z)=\sum_{n=0}^\infty c_nz^n$ centered at zero and with finite radius of convergence in the complex plane, and which has infinitely many zeros (in its ...

**4**

votes

**2**answers

2k views

### power series of the reciprocal… does a recursive formula exist for the coefficients. [closed]

Hello
If $f(x)=\sum _{n=0}^{\infty } b_nx^n$, and $\frac{1}{f(x)}=\sum _{n=0}^{\infty } d_nx^n$. Then the coefficients of the reprical of f can be written down. The first few terms are:
$d_0 = ...