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15
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Completion of the local ring at a point on arithmetic surfaces.

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#algebraic-geometry #power-series #surfaces #local-rings
410
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Series solution of $(1-x)^3y’’-6x^2y-6xy=0$

Published on
#ordinary-differential-equations #power-series
87
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Find the convergence radius for this power series

Published on
#power-series #absolute-convergence
786
Views

A power series with decreasing positive coefficients has no zeroes in the disk

Published on
#complex-analysis #power-series
53
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Convergence of a series of a sequence of powers

Published on
#real-analysis #sequences-and-series #convergence-divergence #power-series
161
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Coming up with an example of a subspace that is not closed.

Published on
#vector-spaces #power-series
312
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Let $(a_n),(b_n) $ be sequences of positive real numbers such that $na_n<b_n<n^2a_n$

Published on
#sequences-and-series #limits #power-series #limits-without-lhopital #limsup-and-liminf
317
Views

$(a_n) $ is a sequence of positive real numbers. The series $\sum a_n$ will converge if

Published on
#sequences-and-series #limits #power-series #limits-without-lhopital
40
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True or False: If $x\notin \mathbb{Q}$ then $\sum_{m\geq 0} mx^{m-1}\notin \mathbb{Q}$

Published on
#convergence-divergence #power-series #taylor-expansion #rational-numbers
634
Views

Is there a name for this series?

Published on
#sequences-and-series #power-series
70
Views

Zorich derivation of Cauchy-Hadamard formula

Published on
#real-analysis #complex-numbers #power-series
87
Views

Maclaurin expansion of a rational function

Published on
#power-series #taylor-expansion
43
Views

Maclaurin expansion series at $x=0$

Published on
#power-series
92
Views

From power series to differential equations

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#ordinary-differential-equations #power-series
69
Views

Why does the domain of convergence change after this integration?

Published on
#calculus #power-series #taylor-expansion

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