DLMF:15.10.E31 (Q5147): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:15.10.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w_{2}(z)=e^{(b-c+1)\pi\mathrm{i}}\frac{\Gamma% \left(2-c\right)\Gamma\left(a\right)}{\Gamma\left(a+b-c+1\right)\Gamma\left(1-% b\right)}w_{3}(z)+e^{(b-c)\pi\mathrm{i}}\frac{\Gamma\left(2-c\right)\Gamma% \left(a\right)}{\Gamma\left(a-b+1\right)\Gamma\left(b-c+1\right)}w_{5}(z),}}

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DLMF:15.10.E31

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Defining formula

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

C5.S2.E1.m2andec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2akdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2akdec

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Defining formula

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

C1.S9.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1addec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1addec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1addec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1aadec

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Defining formula

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

C15.S10.XMD2.m1tdec

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