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15
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$K[[x]]$ has only one prime element - what is it?

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#abstract-algebra #formal-power-series
825
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Show that the ring of formal power series is a Euclidean domain.

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#abstract-algebra #ring-theory #localization #formal-power-series #euclidean-domain
50
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One part power series annihilator

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#ordinary-differential-equations #power-series #generating-functions #formal-power-series #algebraic-combinatorics
44
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Can $p$-adic numbers be interpreted as the result of some summation method?

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#analysis #polynomials #power-series #p-adic-number-theory #formal-power-series
88
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Where do the powers go?

Published on
#reference-request #power-series #generating-functions #formal-power-series
58
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A formula for operator $\frac D{e^D-1}$?

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#linear-transformations #finite-differences #formal-power-series
71
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Can all linear operators be represented as functions?

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#linear-transformations #fourier-transform #formal-power-series
117
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Problem with a Arithmetico-Geometric Series

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#sequences-and-series #power-series #arithmetic-progressions #geometric-progressions #formal-power-series
335
Views

Formal power series and the quadratic formula

Published on
#combinatorics #generating-functions #catalan-numbers #formal-power-series
61
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Completion of a surface along a curve.

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#abstract-algebra #algebraic-geometry #commutative-algebra #formal-power-series
171
Views

An analytic function on $\Bbb{C}$ has infinite radius of convergence about any point

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#complex-analysis #power-series #taylor-expansion #formal-power-series
65
Views

Intuitive explanation why "shadow operator" $\frac D{e^D-1}$ connects logarithms with trigonometric functions?

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#linear-transformations #operator-theory #intuition #fourier-transform #formal-power-series
157
Views

Determining all formal power series satisfying the equation $Q^m=(1+x)^n$ for $n,m\in\mathbb{Z}\setminus\{0\}$

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#abstract-algebra #complex-analysis #power-series #formal-power-series
56
Views

Additive power series in positive characteristic

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#commutative-algebra #formal-power-series
38
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Sum of convergent power series with increasing degrees is convergent.

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#power-series #complex-geometry #absolute-convergence #formal-power-series

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