List questions from formal-power-series

Published on 04 Jun 2016 - 21:00

800

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On the composition of formal power series

Published on 10 Jun 2016 - 8:42

413

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What is the power series expansion at $x=0$ of the algebraic function defined by $(27x-4)y^3 + 3y + 1 = 0$?

Published on 10 Jun 2016 - 16:31

408

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Prove that $R = K\langle x,y,z\rangle/\langle x^2 - yz\rangle$ is an integral domain

Published on 25 Mar 2026 - 23:10

151

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Prove that if B(0) = 0, then A(B(x)) is a formal power series

Published on 25 Jun 2016 - 20:24

194

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Writing one formal power series as a function of another

Published on 27 Jun 2016 - 23:29

5k

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Matrix inverse identity $\,(A-B)^{-1}=A^{-1}+A^{-1}(B^{-1}-A^{-1})^{-1}A^{-1}$

Published on 09 Apr 2013 - 21:41

1.5k

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Power series as a Euclidean domain

Published on 03 Oct 2013 - 8:10

127

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Power Series of Invariant Differential

Published on 11 Apr 2017 - 23:28

92

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Can $k[p,q]$ be dense in $k[x,y]$? where $p_xq_y-p_yq_x \in k^*$.

Published on 23 Apr 2017 - 0:39

464

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Why is the exponential of this formal power series well-defined?

Published on 26 Apr 2017 - 13:35

637

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Ring of formal power series in Macaulay2

Published on 17 May 2017 - 2:09

407

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Generalized Formal Power Series Ring

Published on 26 Mar 2026 - 12:33

587

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Coefficient of Generating Functions Question

Published on 30 May 2017 - 19:37

271

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How to formalize substitutions in generating functions?

Published on 23 Jun 2017 - 22:17

List Question

Unclear definition concerning convergence of a power series

On the composition of formal power series

What is the power series expansion at $x=0$ of the algebraic function defined by $(27x-4)y^3 + 3y + 1 = 0$?

Prove that $R = K\langle x,y,z\rangle/\langle x^2 - yz\rangle$ is an integral domain

Prove that if B(0) = 0, then A(B(x)) is a formal power series

Writing one formal power series as a function of another

Matrix inverse identity $\,(A-B)^{-1}=A^{-1}+A^{-1}(B^{-1}-A^{-1})^{-1}A^{-1}$

Power series as a Euclidean domain

Power Series of Invariant Differential

Can $k[p,q]$ be dense in $k[x,y]$? where $p_xq_y-p_yq_x \in k^*$.

Why is the exponential of this formal power series well-defined?

Ring of formal power series in Macaulay2

Generalized Formal Power Series Ring

Coefficient of Generating Functions Question

How to formalize substitutions in generating functions?

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