All Questions
13 questions
2
votes
3
answers
167
views
Find Generalized Series with Symbolic Variable
CoefficientList[Series[Exp[x], {x, a, 3}], x]
Gives the following expression,
$$
\left\{-\frac{1}{6} e^a a^3+\frac{e^a a^2}{2}-e^a a+e^a,\frac{e^a a^2}{2}-e^a a+e^...
- 42.9k
12
votes
2
answers
498
views
Why do I get a wrong result from SeriesCoefficient?
Bug introduced in 7.0.1 or earlier and fixed in 13.3
Consider the following code:
func[x_] = Sin[x^3]/(x - 1/3);
c[n_] = SeriesCoefficient[func[x], {x, 0, n}]
<...
- 7,182
1
vote
1
answer
242
views
Discrepancy with Hurwitz Zeta function
I've come across an issue while using Wolfram Mathematica that I don't quite understand.
Consider the following symbolic computation:
...
- 57.9k
10
votes
1
answer
842
views
Expansion for Modified Bessel Function Around Infinity
I'm somewhat new to Mathematica, and I don't understand why I'm getting inconsistent series expansions for the modified Bessel Function of first kind near $x=\infty$.
First problem:
I get different ...
- 17k
13
votes
1
answer
390
views
Series with ArcTan gives wrong symbolic answer in Wolfram Language
Bug introduced after 9 and persisting through 13.1. Resolved in 13.2
Recently, I have found a very bad problem with Wolfram Language. It gives the wrong answer for a quite simple expression!
When ...
- 17k
3
votes
0
answers
85
views
Asymptotic expansion for a function containing irrational exponents
I'm trying to find an asymptotic expansion of a function containing irrational exponents in the form of a power series (which also might contain irrational exponents). It works correctly if I request ...
- 7,333
4
votes
1
answer
368
views
Finding periodic ODE solution via small parameter method
I want to figure out how to find periodic solutions of ODE via the small parameter method. I will provide couple of examples of what I mean.
Consider equation $\ddot x + 3x = 2 \sin t + \mu \dot x^2$....
- 62.1k
3
votes
1
answer
79
views
Order of evaluation of Exp and Normal on result from Series
This may be more math related than Mathematica related, but I thought this might be of interest to the group.
I'm trying to work with some Taylor Series approximations of functions that are ...
- 62.1k
1
vote
0
answers
174
views
Computing symbolic form of trigonometric integral
To calculate symbolically this integrale
$$I(s)= \int\limits_0^{\pi/2} \dfrac{\cos t}{\sin^2 t-R^2} \; e^{-s/\cos t}\; dt$$
which has already been asked Here, @yarchik has suggested to me to post ...
2
votes
1
answer
263
views
Unable to evaluate the Limit of an expression at Infinity, with assumptions on parameters
I need some help in evaluating the following limit with assumptions:
...
- 62.1k
2
votes
1
answer
208
views
Problem with SeriesData
Problem:
I need to find the leading order term in an expansion whose leading order behavior is a priori unknown. I can of course go with Series and try different orders, say ...
- 81
10
votes
1
answer
247
views
How to predict the degree of the first series coefficient?
Given an expression f that is a function of x and a number x0, what is the least integer <...
- 62.1k
11
votes
2
answers
2k
views
Find closed form expression for series expansion coefficients [duplicate]
Is there a built-in function that will find a general expression for the coefficient of the series expansion of a function?
Series will only give the explicit ...