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If $a_n \sim b_n$ and $a_n \leq c_n$, when does $b_n \leq c_n$ also?

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#calculus #sequences-and-series #asymptotics
105
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If $2^x/\sqrt{x}=n$, how does $x$ grow asymptotically?

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#asymptotics #exponentiation
77
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Scattering data and IST

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#asymptotics #wave-equation #inverse-problems
761
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An understandable explanation of Euler Maclaurin formula for $\sum_{k=1}^n\log^2 k$, and related questions

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#summation #asymptotics #analytic-number-theory #summation-method
283
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Asymptotics of Binomial coefficients

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#asymptotics #binomial-coefficients #analytic-combinatorics
2.2k
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Big O proof for logarithmic function

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#logarithms #asymptotics #computer-science
78
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Asymptotics behaviour of the sum

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#asymptotics
71
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Asymptotic behaviour of $\ln( \binom{n^3}{2n^2} )$

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#asymptotics
6.3k
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How to solve recurrence $T(n) = nT(n - 1) + 1$

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#discrete-mathematics #recurrence-relations #asymptotics
84
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How to obtain closed form of this recurrence relation?

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#discrete-mathematics #recurrence-relations #asymptotics
73
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Approximating the integral $\int_1^x (t-[t])f'(t)dt$

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#asymptotics #analytic-number-theory
98
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Is there a formula for the number of equipartitions of $[n]$ into $k$ parts of size $s = n/k$?

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#combinatorics #asymptotics #integer-partitions
75
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Asymptotic behavior of exp(H_n)

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#asymptotics
18.2k
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Big-O: If $f(n)=O(g(n))$, prove $2^{f(n)}=O(2^{(g(n)})$

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#asymptotics
145
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Asymptotic behaviour of x(n)

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#sequences-and-series #asymptotics

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