DLMF:15.9.E3 (Q5093): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:15.9.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C^{(\lambda)}_{n}\left(x\right)=(2x)^{n}\frac{{% \left(\lambda\right)_{n}}}{n!}F\left({-\frac{1}{2}n,\frac{1}{2}(1-n)\atop 1-% \lambda-n};\frac{1}{x^{2}}\right).}}

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DLMF:15.9.E3

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$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

C15.S2.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle C^{(\NVar{\lambda})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r3.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C15.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C15.S1.XMD10.m1bdec

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