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Asymptotic of binomial coefficients near the center

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#asymptotics #binomial-coefficients #approximation
68
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Asymptotic expansion of $(ix+a)^{q}$ as $x\rightarrow\infty$

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#complex-analysis #analysis #asymptotics #taylor-expansion #estimation
39
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limes superior: equivalent condition

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#asymptotics #limsup-and-liminf
77
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Proving a Recursive Sequence by Induction.

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#induction #asymptotics #recursion
686
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Why does $f_{1}(n) = 10n^3 + 5n^2 + 17 \in \theta(n^3)$?

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#asymptotics
12.6k
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Solve $T(n) = 3T(n/4) + n$ with iteration technique only

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#algorithms #recurrence-relations #asymptotics
35
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Does there exist a function $f(n)$ that will equal to $n \cdot\Theta(f(n))$?

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#functions #algorithms #asymptotics
70
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Does there exist a function $f(n)$ that $f(n^2) = O(f(n))$

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#functions #algorithms #asymptotics
246
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Difference (minus) of asymptotic notations.

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#algorithms #asymptotics
106
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bounding the sum $\sum_{\exp((\log x)^{3/4})\le p\le x}\frac{1}{p^{1+it}}$

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#summation #asymptotics #analytic-number-theory
45
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Computational complexity of a system of equations

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#asymptotics #systems-of-equations #computational-complexity
34
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Complex integral result and its asymptotes

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#asymptotics #residue-calculus #complex-integration
91
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On simple calculations with $\sum_{k=1}^{n-1}\left\lfloor{\frac{km}{n}}\right\rfloor=\frac{1}{2}(m-1)(n-1)$ and primes $m$ and $n$

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#summation #prime-numbers #asymptotics #products #ceiling-and-floor-functions
45
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Show $\frac{\sin(x)\cos^{n}(x)}{1-\cos(x)}\sim_{x\to 0^+}\frac{x}{\frac{x^2}{2}}$

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#real-analysis #asymptotics #taylor-expansion
29
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solving recursion by asymptotic comutations

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#asymptotics #recursion

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