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15
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Power series function expansion as solution for integral equation

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#integration #power-series #integral-equations
138
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Radius of convergence of powerseries $\sum_{n=1}^\infty \frac{(-1)^n}{n!}z^n$

Published on
#complex-analysis #power-series
110
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Find the Taylor series and prove it converges using the definition

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#calculus #sequences-and-series #power-series #taylor-expansion
35
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Calculating $\sum_{n=0}^\infty (r e^{2 \pi i \alpha})^{n!}$ for $\alpha \in \mathbb Q$.

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#complex-numbers #power-series
100
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Power series and Taylor series

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#power-series #taylor-expansion
159
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How to obtain probability distribution from the generating function $G(s) = e^{a(s-1)^2}$?

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#probability #derivatives #power-series #generating-functions
1k
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Disk of convergence of the series $ \sum\limits_{n=1}^\infty n!\,(z-i)^{n!} $

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#complex-analysis #convergence-divergence #power-series
786
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Power series solution to integral equation

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#definite-integrals #power-series #integral-equations #formal-power-series
504
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Radius of convergence of powerseries containing $(\log n)^n$

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#complex-analysis #convergence-divergence #power-series
206
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Proof on why $0-1+2-3+4-\ldots\neq-1/4$

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#proof-verification #power-series #uniform-convergence #divergent-series
313
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Product of two $2$-variables Taylor series

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#real-analysis #analysis #power-series #taylor-expansion
146
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Short form of few series

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#sequences-and-series #power-series #fourier-series #divergent-series #formal-power-series
78
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Showing $y_1$ or $y_2$ are not polynomials

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#linear-algebra #ordinary-differential-equations #power-series #legendre-polynomials
21.1k
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Ramanujan's approximation for $\pi$

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#calculus #power-series #approximation #pi
1.4k
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Radius of convergence of power series $\sum_{n=1}^{\infty}{\frac{\sin n!}{n!}} {x^n}$

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#real-analysis #power-series

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