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Is there a close form of $ S_n =\sum_{k=0}^{\infty}\frac{k^n}{k!}$

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#calculus #real-analysis #algebra-precalculus #analysis #closed-form
94
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Computing $\sum_{k=1}^n k 2^k$ by hand

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#summation #exponential-function #closed-form
111
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closed form for $ \sum \limits_{k=1}^{n} \frac{x^k k^k}{k!}$?

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#sequences-and-series #exponential-function #closed-form #lambert-w
199
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What is the close form of: $\sum\limits_{k=1}^{\infty}\log\left(\frac{1}{k^2}+1\right)$

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#calculus #real-analysis #sequences-and-series #summation #closed-form
131
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How to compute: $S_{q,p} =\sum\limits_{n=1}^\infty\frac{1}{{(n+q)(n+q+1)…(n+p)}}$

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#calculus #real-analysis #sequences-and-series #closed-form #telescopic-series
60
Views

Find the following sum

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#sequences-and-series #analysis #convergence-divergence #closed-form
39
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Is there a way to convert $\sum_{n=0}^{i-2}\frac{1}{2^n}$ summation to a closed form?

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#summation #closed-form
41
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How would I go about converting this recurrence relation to closed form?

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#discrete-mathematics #recurrence-relations #closed-form #recursion #recursive-algorithms
69
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Minimize $\|x\|^2_2$ subject to $(v+x)^\top M (v+x)=a$

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#optimization #quadratics #closed-form
77
Views

How to compute: $I_x =\int_0^1 t^x e^{-\frac{1}{1-t^2}} dt~~~x>0$?

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#calculus #real-analysis #closed-form #gamma-function
977
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Looking for a closed form for a ${}_4 F_3\left(\ldots,1\right)$

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#sequences-and-series #special-functions #closed-form #hypergeometric-function #elliptic-integrals
180
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What is the exact value of $\int^\infty_0\frac{\sin^2 x}{x^{5/2}}\,dx$

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#calculus #integration #complex-analysis #improper-integrals #closed-form
262
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On a base 10 Infinite Series

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#sequences-and-series #number-theory #closed-form #transcendental-numbers
318
Views

Series of Squared Hyperbolic Cosecant

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#sequences-and-series #closed-form #hyperbolic-functions
236
Views

Closed form expression with uniform distributions

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#real-analysis #probability #closed-form #uniform-distribution

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