DLMF:15.16.E2 (Q5179): Difference between revisions

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Latest revision as of 14:27, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:15.16.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-z)^{a+b-c}F\left(2a,2b;2c-1;z\right)=\sum_{s=0}% ^{\infty}A_{s}z^{s},}}

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DLMF:15.16.E2

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{\displaystyle{\displaystyle|z|<1}}

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle s}}

C15.S1.XMD11.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1adec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle A_{s}}}

C15.S16.XMD1.m1adec

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