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coefficients for terms of power series

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#calculus #power-series
4.7k
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How to know if two power series solutions are linearly independent?

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#ordinary-differential-equations #power-series
168
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There's a small detail in this proof on why $\sum_{k=1}^{\infty}\frac{1}{k^2} = \frac{\pi^2}{6}$ that I can't figure out

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#complex-analysis #power-series #polylogarithm
74
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Power series with $x^{4n}$

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#real-analysis #sequences-and-series #convergence-divergence #power-series
4.2k
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Exponential series is cosh(x), how to show using summation?

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#real-analysis #summation #power-series #exponential-function #exponential-sum
2.2k
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Finding the Accuracy of a Taylor Polynomial for the Approximation $f(x) \approx T_{n}(x)$

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#calculus #sequences-and-series #power-series #taylor-expansion
70
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ordinary generating function of some sequence

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#sequences-and-series #combinatorics #power-series
37
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Basic Geometric Series Question

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#complex-analysis #power-series
105
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Variables, Square roots, and exponents

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#power-series #exponentiation
69
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Calculate $a_n$ with formal power series

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#sequences-and-series #power-series #formal-power-series
107
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Power series $e^{-x^2}$

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#real-analysis #power-series #exponential-function
214
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I have a question about integrating, and what to do about the constant. $\int\frac{1}{1-z}dz$

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#calculus #sequences-and-series #power-series
82
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fast way to find order of a (semi) geometric series

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#sequences-and-series #convergence-divergence #power-series #time-series #geometric-series
521
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Why are there two series representations of the natural logarithm?

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#calculus #logarithms #power-series #taylor-expansion #laurent-series
225
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How to find the coefficient of a power in a power series??

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#probability #power-series

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