DLMF:15.7.E3 (Q5052)

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Language	Label	Description	Also known as
English	DLMF:15.7.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\mathbf{F}\left(a,b;c;z\right)}{\mathbf{F}% \left(a,b+1;c+1;z\right)}=v_{0}-\cfrac{w_{1}}{v_{1}-\cfrac{w_{2}}{v_{2}-\cfrac% {w_{3}}{v_{3}-\cdots}}},}}

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DLMF:15.7.E3

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$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

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

C15.S2.E2.m2aadec

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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.m1bdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle v_{n}}}

C15.S7.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle w_{n}}}

C15.S7.XMD4.m1dec

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