DLMF:15.10.E35 (Q5151)

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Language	Label	Description	Also known as
English	DLMF:15.10.E35	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w_{2}(z)=e^{(1-a)\pi\mathrm{i}}\frac{\Gamma\left(% 2-c\right)\Gamma\left(c-b\right)}{\Gamma\left(a-c+1\right)\Gamma\left(c-a-b+1% \right)}w_{4}(z)+e^{-a\pi\mathrm{i}}\frac{\Gamma\left(2-c\right)\Gamma\left(c-% b\right)}{\Gamma\left(a-b+1\right)\Gamma\left(1-a\right)}w_{5}(z),}}

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DLMF:15.10.E35

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Defining formula

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

C5.S2.E1.m2ardec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aodec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aodec

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Defining formula

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

C1.S9.E1.m2aodec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1ahdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1ahdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1ahdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1aedec

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Defining formula

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

C15.S10.XMD2.m1xdec

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