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How would you best describe the rate of growth of the function $f(x) = cxr^x$?

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#terminology #asymptotics
133
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Solving a simple ${\cal O}(N\log N)$ recursive equation.

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#asymptotics #recursive-algorithms
546
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the following inequality is true, but I can't prove it

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#probability #inequality #asymptotics #approximation
365
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Interval of convergence of $\sum\limits_{n\geq0} \binom{2n}{n} x^n$

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#combinatorics #asymptotics #power-series
174
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Asymptotics at the origin of the convolution with an approximation to the identity.

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#real-analysis #analysis #asymptotics #convolution
2.2k
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Bounding the modified Bessel function of the first kind

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#inequality #asymptotics #special-functions #approximation
404
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Joint distribution of sample quantiles

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#probability #asymptotics
216
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Limit of a sum (no probabilities)

Published on
#limits #summation #asymptotics #binomial-coefficients
98
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Reduce Lethargy Equation

Published on
#asymptotics #logarithms
270
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Why is big-Oh multiplicative?

Published on
#calculus #analysis #asymptotics
143
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An asymptotic integral inequality

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#calculus #inequality #asymptotics
94
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Approximating an integral with elementary functions

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#calculus #asymptotics #improper-integrals
303
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The sum $\sum\limits_{n \ge 0} \binom{m-1}{n} \frac{n!}{m^n} + \binom{n+1}{2}\binom{m-1}{n-1}\frac{(n-1)!}{m^n}$ is asymptotic to $\sqrt{9πm/8}$

Published on
#asymptotics
398
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Understanding Newman's proof of the prime number theorem

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#complex-analysis #analysis #number-theory #prime-numbers #asymptotics
1.7k
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Known bounds for the number of groups of a given order.

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#group-theory #finite-groups #asymptotics #p-groups #groups-enumeration

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