DLMF:6.5.E3 (Q2243)

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Language	Label	Description	Also known as
English	DLMF:6.5.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\tfrac{1}{2}(\mathrm{Ei}\left(x\right)+E_{1}\left(% x\right))=\mathrm{Shi}\left(x\right)=-i\mathrm{Si}\left(ix\right),}}

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DLMF:6.5.E3

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exponential integral

Defining formula

{\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}

C6.S2.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}

C6.S2.SS1.p3.m2abdec

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hyperbolic sine integral

Defining formula

{\displaystyle{\displaystyle\mathrm{Shi}\left(\NVar{z}\right)}}

C6.S2.E15.m2adec

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Defining formula

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

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}

C6.S2.E9.m2adec

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Defining formula

{\displaystyle{\displaystyle x}}

C6.S1.XMD1.m1bdec

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