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Solving $ x^2y′′ + (x^2 + 2x)y′ −2y = 0 $ using power series

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#power-series
239
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How to compute $\sum_{k = 1}^{\infty} \frac{1}{k^2-\frac{1}{16}}$?

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#summation #power-series
105
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Singularity of $\sum a_n z^n$ at $z=R$

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#complex-analysis #power-series #singularity
2.1k
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Is every power series infinitely differentiable everywhere?

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#power-series
54
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A series question about Taylor series

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#sequences-and-series #power-series #taylor-expansion
170
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what is the sum of $\sum_{k=1}^T x^{2k}$?

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#calculus #power-series
54
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Power series ring over a noetherian complete local ring of positive residue characteristic

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#abstract-algebra #commutative-algebra #power-series #limits-colimits
36
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Peculiar similarity

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#power-series
92
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Applying the weierstrass criterion to a power series

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#convergence-divergence #power-series #uniform-convergence
52
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On Non homogeneous linear recurrence relation and power series associated with it:

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#recurrence-relations #power-series #generating-functions
392
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On Hadamard product of power series and constructing a "Hadamard Algebra"

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#complex-analysis #functional-analysis #power-series #generating-functions #hadamard-product
35
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Question on power series and a sequence of distinct roots

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#real-analysis #sequences-and-series #power-series
49
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Maclaurin expansion of $(1+x)^{82}$ and its accuracy

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#real-analysis #calculus #derivatives #power-series #taylor-expansion
87
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Does this series admit a closed form solution?

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#integration #sequences-and-series #power-series
965
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absolute convergence of a power series at its endpoints

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#sequences-and-series #convergence-divergence #power-series #solution-verification

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