DLMF:25.12.E14 (Q7733)

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No description defined

Language	Label	Description	Also known as
English	DLMF:25.12.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F_{s}(x)=\frac{1}{\Gamma\left(s+1\right)}\int_{0}% ^{\infty}\frac{t^{s}}{e^{t-x}+1}\mathrm{d}t,}}

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DLMF:25.12.E14

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Symbols defined

Fermi–Dirac integral (locally)

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{\displaystyle{\displaystyle s>-1}}

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Defining formula

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

C5.S2.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C25.S1.XMD5.m1hdec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1ddec

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Sitelinks

Wikipedia(0 entries)

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