DLMF:14.8.E12 (Q4786)

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Language	Label	Description	Also known as
English	DLMF:14.8.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\right)\sim\frac{\Gamma\left(% \nu+\frac{1}{2}\right)}{\pi^{1/2}\Gamma\left(\nu-\mu+1\right)}(2x)^{\nu},}}

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DLMF:14.8.E12

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{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\mu-\nu\neq 1,2,3,\dots}}

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Defining formula

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

C5.S2.E1.m2ahdec

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Defining formula

{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1abdec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2ahdec

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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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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1kdec

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Sitelinks

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