DLMF:15.2.E2 (Q4978): Difference between revisions

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
Property / constraint
 

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

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
 
Normal rank

Revision as of 17:54, 30 December 2019

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DLMF:15.2.E2
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    Statements

    𝐅 ( a , b ; c ; z ) = s = 0 ( a ) s ( b ) s Γ ( c + s ) s ! z s , scaled-hypergeometric-bold-F 𝑎 𝑏 𝑐 𝑧 superscript subscript 𝑠 0 Pochhammer 𝑎 𝑠 Pochhammer 𝑏 𝑠 Euler-Gamma 𝑐 𝑠 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle\mathbf{F}\left(a,b;c;z\right)=\sum_{s=0}^{\infty}% \frac{{\left(a\right)_{s}}{\left(b\right)_{s}}}{\Gamma\left(c+s\right)s!}z^{s}% ,}}
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    DLMF:15.2.E2
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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