DLMF:15.4.E25 (Q5009)

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Language	Label	Description	Also known as
English	DLMF:15.4.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=-\infty}^{\infty}\frac{\Gamma\left(a+n% \right)\Gamma\left(b+n\right)}{\Gamma\left(c+n\right)\Gamma\left(d+n\right)}=% \frac{\pi^{2}}{\sin\left(\pi a\right)\sin\left(\pi b\right)}\*\frac{\Gamma% \left(c+d-a-b-1\right)}{\Gamma\left(c-a\right)\Gamma\left(d-a\right)\Gamma% \left(c-b\right)\Gamma\left(d-b\right)}.}}

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DLMF:15.4.E25

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Defining formula

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

C5.S2.E1.m2addec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle n}}

C15.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1rdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1gdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1ddec

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