Linked Questions

5 votes
2 answers
2k views

Series expansion of a multivariable function to an order n for any number of variables [duplicate]

Suppose I want to expand a multivariable function to an order n. ...
Sumit's user avatar
  • 15.9k
0 votes
1 answer
768 views

Two Variable First Order Approximation [duplicate]

I found that using Series and Normal command, I am able to approximate the first order of x or y, but If I also get rid of x*y (cross term), Series command does not work any more. Let's define some ...
Saesun Kim's user avatar
  • 1,810
0 votes
2 answers
433 views

Asymptotic series [duplicate]

I need to solve the following problem. I have the following function: Erf[Sqrt[a x^2 + b y^2]]/Sqrt[a x^2 + b y^2], where x and y are variables and a and b ...
ogledala's user avatar
  • 367
1 vote
1 answer
534 views

Multivariables series expansion up to some power of all the variables [duplicate]

I have a function f[x, y, z] that I would like to expand up to a given power of xyz. For now, I am using ...
Phyks's user avatar
  • 23
2 votes
0 answers
240 views

Best way to power series expand in multiple variables? [duplicate]

A power series expansion of a multivariate function can be performed with the Series command, which performs each expansion consecutively. The results can be a bit ...
Rico Picone's user avatar
0 votes
0 answers
154 views

Truncate Multivariate Polynomial to Degree [duplicate]

I am working with multivariate polynomials, e.g. Expand[Normal[Series[d/Sqrt[(1 - x^2 + y^2)], {x, 0, 5}, {y, 0, 5}]]] which for this example results in $\frac{...
R D's user avatar
  • 283
0 votes
0 answers
128 views

Speed up series expansion [duplicate]

I have a rather complicated function that I need to expand it in series, which is quite straightforward but takes a long time. I was wondering if there is a way to speed up such a calculation: ...
tks's user avatar
  • 133
-1 votes
1 answer
127 views

Series expansion of a function up to linear terms [duplicate]

I have the following: \[CapitalSigma] = r^2 + a^2 Cos[\[Theta]]^2; \[CapitalDelta] = r^2 - 2 M r + a^2 - k/3 r^2 (r^2 + a^2); grr = \[CapitalSigma]/\[CapitalDelta]; ...
user583893's user avatar
0 votes
0 answers
25 views

Series expansion in variables with different indices [duplicate]

The Series[] command is useful for reformatting algebraic expressions and getting rid of higher-order terms: ...
PianoEntropy's user avatar
5 votes
3 answers
972 views

Get the homogeneous part of a polynomial

What is the easiest or fastest way to extract the homogeneous part of a polynomial in Mathematica. For instance, if there were a function homog_part[f,n], I could ...
quantum's user avatar
  • 287
4 votes
4 answers
3k views

Calculating Taylor polynomial of an implicit function given by an equation

I'd like to write a procedure that will take an equation: F(x,y,z) = 0 chosen variable: x a point: ...
user76568's user avatar
  • 401
6 votes
5 answers
250 views

Taking some terms from a polynomial

I have a polynomial like this: ...
Mark_Phys's user avatar
  • 491
22 votes
1 answer
616 views

Series vs Asymptotic in 12.1

The functionality of Series and Asymptotic (new in V12.1) is very similar. In fact, they are both listed in the Asymptotics ...
imas145's user avatar
  • 988
3 votes
3 answers
1k views

Choosing a branch of the square root when performing a series expansion

I have the following problem. Consider expression f=Sqrt[(x-2y)^2] There is an obvious ambiguity in the definition of f ...
Weather Report's user avatar
8 votes
1 answer
1k views

Series expansion for small ratio of variables

I have a messy expression of variables that I would like to simplify under the assumption that certain ratios of the variables are small. For example, consider $\sqrt{x+y}\;$ expanded for small $\...
mcFreid's user avatar
  • 183

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