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Manipulation of Power Series

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#calculus #sequences-and-series #power-series
1.5k
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Power Series Solutions to Differential Equations $y''-xy=0$

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#real-analysis #sequences-and-series #ordinary-differential-equations #convergence-divergence #power-series
62
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Matrix functions which are not scalar coefficient power series expansions.

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#matrices #soft-question #power-series #diagonalization
662
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What's the power series of $\log$ at $=1$?

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#calculus #integration #complex-analysis #convergence-divergence #power-series
319
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2 Exercises on Weierstrass M-test for power series

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#real-analysis #complex-analysis #convergence-divergence #power-series #uniform-convergence
593
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Composition of Formal Power Series

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#real-analysis #sequences-and-series #power-series
43
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Transform generating function into linear recurrence relation

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#recurrence-relations #power-series #generating-functions
951
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Power Series and Recursion

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#ordinary-differential-equations #power-series #recursion #independence
75
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The ring $K[[x_1,\ldots,x_n]][x_1^{-1},\ldots,x_n^{-1}]$ is UFD?

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#commutative-algebra #power-series #unique-factorization-domains
95
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How do you power represent $\frac{(1+x)}{(1-x)^2}$?

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#calculus #power-series
170
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power series and conditional convergence at an end point

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#calculus #sequences-and-series #derivatives #continuity #power-series
55
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Function Variations of a Power Series Representation

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#sequences-and-series #power-series
26
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Expressing series transformed in a certain way

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#power-series #transformation
1.4k
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Integral $\int_0^\frac{\pi}{2} \arcsin(\sqrt{\sin x}) dx$

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#integration #power-series #closed-form
529
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Cauchy product of multivariate formal power series

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#ring-theory #power-series #convolution #formal-power-series

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