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How to find weight function using generating series?

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#combinatorics #formal-power-series
275
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Coefficient extraction of formal power series on paper

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#formal-power-series
669
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Formula for composition of formal power series with binomial coefficient

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#combinatorics #power-series #binomial-coefficients #generating-functions #formal-power-series
76
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Algebraic hypergeometric functions (?)

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#hypergeometric-function #formal-power-series
133
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Monotone convergence of functions ant theor asymptotic power series

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#real-analysis #analysis #asymptotics #power-series #formal-power-series
155
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Bernoulli-like generating function

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#sequences-and-series #power-series #bernoulli-numbers #formal-power-series #taylor-expansion
573
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Unicity in $p$-adic Weierstrass Preparation Theorem: dividing both sides of an equation of formal power series

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#p-adic-number-theory #formal-power-series
52
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Solve for power series satisfying certian relations among each other

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#sequences-and-series #power-series #formal-power-series
137
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On the proof of Theorem 20.8 from Matsumura

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#commutative-algebra #formal-power-series
104
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Crossed homomorphisms between power series groups

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#group-theory #power-series #group-cohomology #formal-power-series
562
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A UFD for which the related formal power series ring is not a UFD

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#commutative-algebra #unique-factorization-domains #formal-power-series
261
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Closed form expression for a formal power series

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#summation #formal-power-series
941
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Intuition behind power series

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#power-series #generating-functions #geometric-series #taylor-expansion #formal-power-series
470
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Prove that if the product of two formal power series $A$ and $B$ is $0$ then $A = 0$ or $B = 0$

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#combinatorics #power-series #formal-power-series
210
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Prove that ${\sum _{n=0} \binom{2n}{n} x^n} = \frac{1}{\sqrt{1-4x}}$

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#discrete-mathematics #generating-functions #catalan-numbers #formal-power-series

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