All Questions
8 questions
1
vote
1
answer
198
views
Integration and expansion of hypergeometric function
I am trying to reproduce the evaluation of the expansion in $\epsilon$ for the function in Appendix B of the paper arxiv.org/abs/0705.0676v3, which involves the hypergeometric function ${}_2F_1$:
\...
- 139
2
votes
1
answer
83
views
Why does Series give two different results for given function?
I want to do Series of this function x^12 Cos[y x]^2 Sin[y x]^6 Sin[(-1 + Sqrt[3]) y x]^2 around ...
- 349
0
votes
1
answer
125
views
Can Mathematica estimate this complex function?
Mathematica has given me a function in $x,r$ given by
...
- 35
1
vote
3
answers
229
views
How to express the function $a(t)$ knowing a parametrization $a(\eta)$ and $t(\eta)$?
I have this function :
\begin{equation}\tag{1}
a(\eta) = \sqrt{\sin{2 \eta}},
\end{equation}
and this time variable :
\begin{equation}\tag{2}
t(\eta) = \int_0^\eta a(\eta') \, d\eta'.
\end{...
- 4,133
15
votes
1
answer
318
views
Why do big-O terms disappear in definite integrals since Mathematica 9?
In Mathematica 8, when I computed the following input:
Integrate[Series[Cos[x], {x, 0, 2}], {x, 0, a}]
Mathematica returned an expression that had a O[a^4] in ...
- 753
0
votes
1
answer
139
views
Evaluate integral of a series
I want to evaluate this integral, but it won't work. Does anyone knows why?
...
- 517
3
votes
3
answers
263
views
What is the formula for this numerical series?
I'm developing a questions game. My goal is that the score for each correct answer will increase as the user answers more questions. Initially there are 15 points for each correct answer. Every 4 ...
- 139
2
votes
1
answer
799
views
About high dimensional integrals
I want to be able to do high dimensional integrals like,
(..naively I wrote it as this..)
...
- 1,191