DLMF:15.10.E24 (Q5140): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:15.10.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle w_{6}(z)=e^{b\pi\mathrm{i}}\frac{\Gamma\left(b-a+% 1\right)\Gamma\left(c-a-b\right)}{\Gamma\left(1-a\right)\Gamma\left(c-a\right)% }w_{3}(z)+e^{(c-a)\pi\mathrm{i}}\frac{\Gamma\left(b-a+1\right)\Gamma\left(a+b-% c\right)}{\Gamma\left(b\right)\Gamma\left(b-c+1\right)}w_{4}(z).}}

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DLMF:15.10.E24

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Defining formula

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

C5.S2.E1.m2agdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

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

C1.S9.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1wdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1wdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1wdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1tdec

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Defining formula

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

C15.S10.XMD2.m1mdec

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