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Find the closed form for the generating fuction

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#ordinary-differential-equations #recurrence-relations #generating-functions #closed-form #formal-power-series
763
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Generating function of a polynomial

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#combinatorics #power-series #generating-functions #formal-power-series
111
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Solving an implicit equation to find the exponential generating function of a specific sequence

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#combinatorics #generating-functions #formal-power-series
380
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Order of a real formal power series

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#polynomials #power-series #formal-power-series
55
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Understanding the structure of $\mathbb{Z}[[x]]/(x-x^2)$

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#abstract-algebra #formal-power-series #local-rings #polynomial-rings
52
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Generating function of the succession $\{\frac{n^{3}}{n!}\}_{n\in\mathbb{N}}$

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#discrete-mathematics #generating-functions #formal-power-series
167
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Ideals in the ring of formal power series

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#ring-theory #commutative-algebra #noetherian #formal-power-series #flatness
42
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Generating function from $\frac{bx}{1-ax}$

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#combinatorics #summation #generating-functions #formal-power-series
112
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Silverman AEC: Corollary IV.4.4.

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#commutative-algebra #elliptic-curves #formal-power-series #formal-groups
108
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Silverman AEC: Lemma IV.6.3 [on the convergence of formal logarithm]

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#elliptic-curves #p-adic-number-theory #valuation-theory #formal-power-series #formal-groups
58
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Substitution homomorphism in formal power series ring being a ring isomorphism

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#abstract-algebra #algebraic-geometry #ring-theory #jacobian #formal-power-series
212
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Taking the logarithm of a formal power series definition

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#combinatorics #formal-power-series
83
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An infinite family of Artin-Schreier polynomials which all split in $\mathbf{F}_q(\!(\theta)\!)$

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#extension-field #valuation-theory #formal-power-series #local-field
42
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Solving a system of nonlinear algebraic equations with power series

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#power-series #taylor-expansion #formal-power-series
72
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Is $\frac{1}{x(1+x)}$ a well-defined generating function?

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#combinatorics #discrete-mathematics #generating-functions #formal-power-series

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