DLMF:13.14.E19 (Q4508): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.14.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle W_{\kappa,0}\left(z\right)=-\frac{\sqrt{z}}{% \Gamma\left(\frac{1}{2}-\kappa\right)}\left(\ln z+\psi\left(\tfrac{1}{2}-% \kappa\right)+2\gamma\right)+O\left(z^{\ifrac{3}{2}}\ln z\right).}}

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DLMF:13.14.E19

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order not exceeding

Defining formula

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

C2.S1.E3.m2aedec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2agdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E3.m2ajdec

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psi (or digamma) function

Defining formula

{\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

C5.S2.E2.m2aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1rdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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Sitelinks

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