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Hypergeometric function at $z=1$

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#real-analysis #ordinary-differential-equations #asymptotics #special-functions #hypergeometric-function
246
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Asymptotics of partial exponential sum $ \sum\limits_{k=0}^{a n} \frac{n^k}{k!}$

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#sequences-and-series #asymptotics
73
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Asymptotic growth of $a(n)=\prod_{k\in\{1,\dots,n\}}{2^{k+1} \choose 2^k}$

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#sequences-and-series #asymptotics #binomial-coefficients #products
576
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Asymptotic behavior of the hypergeometric function

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#asymptotics #hypergeometric-function
50
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multiplying Big O $\left(x^3+2x^2+O\left(x\right)\right)\cdot \left(1+\frac{1}{x}+O\left(\frac{1}{x^2}\right)\right)$

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#calculus #asymptotics
173
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Finding closed form of for loop to get big o

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#asymptotics
67
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Prove $a(n)$ tends toward $a(n-1)^\phi $ as $n$ goes to $\infty$

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#sequences-and-series #limits #asymptotics
247
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Prove or disprove: if $f(n)= o(g(n))$ and $h=\omega(1)$ then, $f(h(n))= o(g(h(n)))$

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#limits #discrete-mathematics #asymptotics
53
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Error term in Taylor approximations of $\sin$ and other series with zero derivatives of higher order

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#calculus #sequences-and-series #asymptotics #taylor-expansion
476
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How to say something is $O(\sqrt{\log n})$ in word?

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#algorithms #logarithms #asymptotics
940
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Could these polynomials be identified?

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#polynomials #asymptotics #taylor-expansion #approximation
62
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Determine the dominant asymptotic behavior of function

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#calculus #integration #asymptotics #bessel-functions
115
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Integrate Gaussian$\times$Log

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#calculus #definite-integrals #asymptotics #improper-integrals #approximate-integration
68
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Series in negative powers

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#ordinary-differential-equations #asymptotics #power-series
50
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Show order of function

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#ordinary-differential-equations #analysis #asymptotics

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