# Questions tagged [series-expansion]

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

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### How to Series Expand an Expression in Mathematica with Smaller Cross Terms Compared to Diagonal Terms?

I have an expression for E_y in terms of various s terms, and I want to perform a series expansion based on the assumption that cross terms (like s12) are much smaller than the diagonal terms (like ...
• 1,023
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### Finding a sequence function

I would appreciate your help in finding a polynomial sequence function based on a set of data points. For each pair of integers {j, k}, I have the following data points ...
• 173
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### Incomplete Series Evaluation in Mathematica for Large Values of 𝑛

The evaluation of the series Series[((1/2 + Sqrt[n])^3 n^(15))/(((7 Sqrt[2])/(3 n^(1/4)) + C1/n^(3/4) + n^(1/4))^(37)), {n, Infinity, 2}] Does not complete where ...
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### Series expansion not working with $\sqrt{1-x^d}$

Why can't Mathematica expand simple functions like $$\sqrt{1-x^d}$$ in series? When I give particular values of $d$, then it simplifies but not otherwise. For now, I want $d \in \mathbb{N}$, and want ...
• 195
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### Find radius of convergence for two series product [closed]

I have a equation like this: (u + v + w + 2 u w + 2 v w + 2u v + 3u v w)/[1 - (v w + uv + uw + 2 u v w)] ...
• 21
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