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find square root of $x^2+x^3 $ in formal power series $k[[x,y]]$

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#abstract-algebra #systems-of-equations #formal-power-series
499
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Why Can I divide generating function by $x$

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#combinatorics #ring-theory #generating-functions #formal-power-series
80
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isomorphism between $k[[x]]$ into $\varprojlim_n k[x]/(x^n)$

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#abstract-algebra #ring-theory #commutative-algebra #power-series #formal-power-series
89
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$n$th root of a polynomial

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#commutative-algebra #radicals #formal-power-series
135
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Generalisation of a Theorem of McCoy to rings with bounded index of nilpotency

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#abstract-algebra #ring-theory #nilpotence #formal-power-series
1.4k
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Explanation of the composition of two formal power series

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#formal-power-series
538
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Extracting Bernoulli polynomials from their generating function

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#analysis #generating-functions #bernoulli-numbers #formal-power-series
59
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Formal Expansion of another Expansion

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#probability-theory #convergence-divergence #power-series #formal-power-series
83
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On algebraicity of a formal power series

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#power-series #noncommutative-algebra #formal-power-series
59
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Unusual series expansion - how to find coefficients?

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#polynomials #formal-power-series
50
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$\prod \limits _{n \geq1}(1-x^n)^{-\frac{\mu (n)}n}=e^x$, yet $x=1$...

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#abstract-algebra #formal-power-series
113
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Semiring of formal power series with non-negative coefficients

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#reference-request #commutative-algebra #formal-power-series #semiring
432
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Formal power series coefficient problem

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#combinatorics #binomial-coefficients #binomial-theorem #formal-power-series
44
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Are binomial series multiplicative in their bases?

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#abstract-algebra #binomial-coefficients #formal-power-series
225
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How to find the recurrence relation from a given polynomial?

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#combinatorics #polynomials #recurrence-relations #formal-power-series

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