The series-expansion tag has no wiki summary.
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393 views
About generating power series
For an arbitrary function $f(x,y)$ I am defining functions LogMT1 and LogMT2 as follows,
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Why does Mathematica fail to series expand this simple expression?
I wanted to expand the function $(x+2)^{x+2}$ around $x = -1$, that is, using
Series[(x + 2)^(x + 2), {x, -1, 2}]
and Mathematica returns the same expression. ...
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0answers
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Design considerations behind `O` (a.k.a. BigOh, a.k.a. Landau Order)
This works without any warnings: O[Log[x]].
This raises a warning: O[x^2].
I have a few questions around this:
Why is it a ...
6
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0answers
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Why does $\frac{\partial}{\partial x}O\left(\left(\frac{1}{x}\right)^0\right)$ equal $O\left(\left(\frac{1}{x}\right)^0\right)$ in a series expansion?
When taking the derivative of a series expansion around a finite point, the $O(x^n)$ part is differentiated as expected. $O(x^n)$ becomes $O(x^{n-1})$ except $O(x^0)$ which stays $O(x^0)$.
When ...
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0answers
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Expansion of $E(i c \mid m)$ at $c\to\infty$?
Currently, I am using a Windows machine with Mathematica 8. I noticed a difference in a series expansion of the function EllipticE[] in comparison with a result ...
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Proper treatment of roots and powers in Series?
I have the following problem in Mathematica 9 on Linux. I let Mathematica compute the Series expansion:
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0answers
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Decimal representations of analytic values in an expansion
I have a solution to an ODE (which I call sol), which I would like to expand in terms of Log[1+x] around x=-1. I thought that:
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0answers
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Getting poles of a Gamma functions
Why do the following 2 sequences give different answers?
n = 1.5
Series[Gamma[0.5 - n - x], {x, 0, 2}]
Series[Gamma[-1 - x], {x, 0, 2}]
(..clearly the output from the second expression is ...
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0answers
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How to have Mathematica find asymptotics with correct asumptions
I'm tried to find a certain expansion of the Hypergeometric1F1 function using Mathematica:
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115 views
series expansion
I have a fourth order equation
equation (22)
and I must solve it with respect to delta0 (i.e.: Solve[equation,delta0]) to have a solution for small value of mu1 ...
