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Simplified expression for the nth derivative of the n+1th power of a function

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#sequences-and-series #derivatives #taylor-expansion #laplace-transform #lagrange-inversion
35
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Series reversion using reciprocal sum recursion confusion

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#sequences-and-series #recurrence-relations #recursion #inverse-function #lagrange-inversion
54
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Airy function zeros.

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#real-analysis #airy-functions #lagrange-inversion
117
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How helpful is $f^{-1}(z)=\frac1{2\pi i}\oint\ln(1-\frac z{f(w)})dw$, or the method to find it, in deriving integral representations of $f^{-1}(z)$?

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#integration #contour-integration #inverse-function #z-transform #lagrange-inversion
2.7k
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How to deal with this double summation?

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#summation #binomial-coefficients #catalan-numbers #lagrange-inversion
425
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Solving $z=w/2-\sin(tw)/(2t)$ for $w$

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#real-analysis #inverse #transcendental-equations #lambert-w #lagrange-inversion
588
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How to find the power series of the inverse of a function?

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#power-series #lagrange-inversion
10.2k
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Numerical inverse of a function

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#numerical-methods #inverse #lagrange-inversion
756
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What does the $q$-Catalan Numbers count?

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#combinatorics #catalan-numbers #q-analogs #lagrange-inversion
103
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Solve: $-2^x-x/2=0$ analytically

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#exponential-function #closed-form #lambert-w #lagrange-inversion
213
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Question about the radius of convergence in the Lagrange Inversion Theorem

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#real-analysis #analytic-functions #lagrange-inversion
277
Views

Solving $x + 3^x < 4$ analytically

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#algebra-precalculus #closed-form #lambert-w #lagrange-inversion
333
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Lagrange inversion theorem for the normal cumulative distribution

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#taylor-expansion #normal-distribution #cumulative-distribution-functions #lagrange-inversion
243
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Multivariate Lagrange inversion with powers

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#combinatorics #power-series #lagrange-inversion
168
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"Lagrange inversion" around points with $f'(x_0)=0$

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#real-analysis #calculus #complex-analysis #inverse-function #lagrange-inversion

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