DLMF:15.10.E30 (Q5146)

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Language	Label	Description	Also known as
English	DLMF:15.10.E30	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w_{1}(z)=e^{a\pi\mathrm{i}}\frac{\Gamma\left(c% \right)\Gamma\left(b-c+1\right)}{\Gamma\left(a+b-c+1\right)\Gamma\left(c-a% \right)}w_{3}(z)+e^{(a-c)\pi\mathrm{i}}\frac{\Gamma\left(c\right)\Gamma\left(b% -c+1\right)}{\Gamma\left(a\right)\Gamma\left(b-a+1\right)}w_{6}(z),}}

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DLMF:15.10.E30

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Defining formula

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

C5.S2.E1.m2amdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2ajdec

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Defining formula

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

C1.S9.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1acdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1acdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1zdec

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Defining formula

{\displaystyle{\displaystyle w_{m}(z)}}

C15.S10.XMD2.m1sdec

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Sitelinks

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