DLMF:14.11.E3 (Q4819)

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Language	Label	Description	Also known as
English	DLMF:14.11.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{A}_{\nu}^{\mu}(x)=\sin\left(\nu\pi\right)% \left(\frac{1+x}{1-x}\right)^{\mu/2}\*\sum_{k=0}^{\infty}\frac{\left(\frac{1}{% 2}-\frac{1}{2}x\right)^{k}\Gamma\left(k-\nu\right)\Gamma\left(k+\nu+1\right)}{% k!\Gamma\left(k-\mu+1\right)}\*\left(\psi\left(k+\nu+1\right)-\psi\left(k-\nu% \right)\right).}}

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DLMF:14.11.E3

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Defining formula

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

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

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

C4.S14.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1bdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1bdec

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Defining formula

{\displaystyle{\displaystyle\mathsf{A}_{\nu}^{\mu}(x)}}

C14.S11.XMD1.m1bdec

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Sitelinks

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