DLMF:15.9.E4 (Q5094)

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Language	Label	Description	Also known as
English	DLMF:15.9.E4	No description defined

Statements

Defining formula

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

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DLMF:15.9.E4

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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.m2acdec

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Defining formula

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

C5.S2.SS3.m1acdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2adec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5acdec

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