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Asymptotics of the inverse of an analytic equation

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#asymptotics #lagrange-inversion
970
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Requesting basic explanation of the Lagrange inversion theorem

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#sequences-and-series #fourier-series #lagrange-inversion
2.7k
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Lagrange Inversion Theorem Proof

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#taylor-expansion #residue-calculus #hypergeometric-function #polylogarithm #lagrange-inversion
96
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Does anyone know of a good expression for this Maclaurin series?

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#power-series #taylor-expansion #lagrange-inversion
127
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Unexpected (incorrect) solution to Lagrange Inversion solution to $x^4 - x^3 - x^2 - x - 1 = 0$ about the solution near $x = 2$

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#sequences-and-series #hypergeometric-function #lagrange-inversion
90
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Proving $\int_0^{\infty}f(x) $ converges using Lagrange

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#integration #improper-integrals #lagrange-inversion
123
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How many ways to split a convex polygon to squares?

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#combinatorics #generating-functions #catalan-numbers #lagrange-inversion
229
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What is the compositional inverse of Riemann zeta function near $s=0$?

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#sequences-and-series #riemann-zeta #lagrange-inversion
81
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Finding generating function and coefficient with symbolic method and Lagrange

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#combinatorics #discrete-mathematics #trees #analytic-combinatorics #lagrange-inversion
79
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Is the solution to the functional equation $\widehat{F}(z) = z\widehat{G}(\widehat{F}(z))$ unique?

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#combinatorics #generating-functions #trees #formal-power-series #lagrange-inversion
347
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Proof of lagrange inversion of taylor series

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#analysis #taylor-expansion #lagrange-inversion
760
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Generating function of $\binom{3n}{n}$

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#combinatorics #generating-functions #lagrange-inversion
174
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Lagrange Expansion

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#lagrange-inversion
65
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Solving Lambert style equation

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#numerical-methods #exponential-function #inverse-function #lambert-w #lagrange-inversion
31
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A type of sequence inversion?

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#sequences-and-series #inverse #lagrange-inversion

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