# Tagged Questions

Questions on dealing with series data and constructing power series expansions of functions.

2answers
84 views

### plotting summation to check for convergence

Our assignment was to enter in a series and check to see if it converges by graphing. However, when I attempt to graph it, I get a bunch of errors that I'm not sure what they mean. Best way to show ...
0answers
100 views

### Getting around Series[Sinc] bug

Bug introduced in 8.0 or earlier and fixed in 10.4 For some reason, Series expansion of Sinc around ...
3answers
123 views

### How to find the leading term in the expansion for large value of the parameter

My question is related to one I already asked (previous question). The equation I am working with is cumbersome: ...
1answer
67 views

### series to rational order

The function Series requires that the expansion order is an integer, i.e. for the input ...
1answer
98 views

### Problem with complex conjugation of series data in mathematica 10

ComplexExpand in Mathematica 10 doesn't work with series data: Taylor = Series[Exp[I x], {x, 0, 4}]; ComplexExpand[Taylor\[Conjugate]] gives 1+I x-x^2/2-(I x^...
2answers
138 views

### Solve of cubic and quartic equations too slow

In my problem I have a third order algebraic equation for the variable sigma, all other letters are parameters. Here is it's right-hand side, left hand side is ...
0answers
70 views

### Finding consecutive residues of large expression?

I have given a large expression expr (has LeafCount of 2772, you can find it in this file or ...
2answers
132 views

### How to create a series using For loop.? [closed]

i want to create a series such as 10^n-1 * 10^n-2 *.......... * 10^2 * 10^1 using for loop ; here is my code. For[n=1, n<18, a=10^n; n++, b=(10^n)*a;]; ...
5answers
191 views

### Getting $e$ closer than $0,001$?

Everyone knows that $\sum \frac{1}{n!} =e$. How should I make a program in Wolfram Mathematica, that tells me, how many members I need from the sum, to get a number, with mistake smaller, than $0,001?$...
1answer
104 views

### Finding terms of the perturbation solution

I've got a task to find first three terms of the perturbation series solution to: $$y' = 1 +(1+\epsilon)y^2,\quad y(0)=1, \quad t > 0,$$ for a small $\epsilon$. I am supposed to use Mathematica ...
1answer
71 views

### Series around a point

I have the function Vt ...
1answer
67 views

### Solving ODE in power series about infinity

I want to solve a particular ODE in power series of 1/x. I can obtain the power series solution about x=0. Can any one suggest how to obtain a series solution in 1/x for the following ODE? I tried ...
2answers
200 views

### Series solution of the Lane-Emden equation

I have the following problem: I'd like to show how the Lane-Emden equation would look like if someone would solve it as a series. Here's the code: ...
0answers
60 views

### Changing variables in a series expansion

I want to compute the Taylor expansion of some pure function f[x_], but then perform a change of variables in the resulting expression. So, for example, the output ...
1answer
43 views

### System of equations from coefficients of series

I have two functions $F_1(a,b,x)$ and $F_2(a,b,x)$ I expand these functions about the point $x=0$ Series[F1,{x,0,2}] Series[F2,{x,0,2}] the coefficients are ...
3answers
78 views

### Series: two varibles, how to eliminate the (product) higher order

I have a function of $f(x,y)$, where $x,y$ are very small numbers. I want to series expand it to the $3$rd power. However I don't want the terms such that $x^2y^2$, $xy^3$ etc. because I would reckon ...
2answers
61 views