DLMF:36.11.E4 (Q9987)

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Language	Label	Description	Also known as
English	DLMF:36.11.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Psi_{3}\left(x,0,0\right)=\frac{\sqrt{2\pi}}{(5|x% |^{3})^{1/8}}\begin{cases}\exp\left(-2\sqrt{2}(\ifrac{x}{5})^{5/4}\right)\left% (\cos\left(2\sqrt{2}(\ifrac{x}{5})^{5/4}-\tfrac{1}{8}\pi\right)+o\left(1\right% )\right),&x\to+\infty,\\ \cos\left(4(\ifrac{|x|}{5})^{5/4}-\tfrac{1}{4}\pi\right)+o\left(1\right),&x\to% -\infty.\end{cases}}}

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DLMF:36.11.E4

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canonical integral function

Defining formula

{\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}}

C36.S2.E4.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2abdec

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order less than

Defining formula

{\displaystyle{\displaystyle o\left(\NVar{x}\right)}}

C2.S1.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C36.S1.XMD9.m1dec

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Sitelinks

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