DLMF:36.12.E3 (Q9994): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:36.12.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle I(\mathbf{y},k)=\frac{\exp\left(ikA(\mathbf{y})% \right)}{k^{1/(K+2)}}\sum\limits_{m=0}^{K}\frac{a_{m}(\mathbf{y})}{k^{m/(K+2)}% }\left(\delta_{m,0}-\left(1-\delta_{m,0}\right)i\frac{\partial}{\partial z_{m}% }\right)\Psi_{K}\left(\mathbf{z}(\mathbf{y};k)\right)\left(1+O\left(\frac{1}{k% }\right)\right),}}

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DLMF:36.12.E3

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order not exceeding

Defining formula

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

C2.S1.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5adec

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canonical integral function

Defining formula

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

C36.S2.E4.m2adec

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exponential function

Defining formula

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

C4.S2.E19.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aadec

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