DLMF:15.10.E13 (Q5129)

From testwiki
Revision as of 15:49, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:15.10.E13
No description defined

    Statements

    test
    w 3 ⁢ ( z ) = F ⁡ ( a , b a + b - c + 1 ; 1 - z ) = z 1 - c ⁢ F ⁡ ( a - c + 1 , b - c + 1 a + b - c + 1 ; 1 - z ) = z - a ⁢ F ⁡ ( a , a - c + 1 a + b - c + 1 ; 1 - 1 z ) = z - b ⁢ F ⁡ ( b , b - c + 1 a + b - c + 1 ; 1 - 1 z ) . subscript 𝑤 3 𝑧 Gauss-hypergeometric-F 𝑎 𝑏 𝑎 𝑏 𝑐 1 1 𝑧 superscript 𝑧 1 𝑐 Gauss-hypergeometric-F 𝑎 𝑐 1 𝑏 𝑐 1 𝑎 𝑏 𝑐 1 1 𝑧 superscript 𝑧 𝑎 Gauss-hypergeometric-F 𝑎 𝑎 𝑐 1 𝑎 𝑏 𝑐 1 1 1 𝑧 superscript 𝑧 𝑏 Gauss-hypergeometric-F 𝑏 𝑏 𝑐 1 𝑎 𝑏 𝑐 1 1 1 𝑧 {\displaystyle{\displaystyle w_{3}(z)=F\left({a,b\atop a+b-c+1};1-z\right)=z^{% 1-c}F\left({a-c+1,b-c+1\atop a+b-c+1};1-z\right)=z^{-a}F\left({a,a-c+1\atop a+% b-c+1};1-\frac{1}{z}\right)=z^{-b}F\left({b,b-c+1\atop a+b-c+1};1-\frac{1}{z}% \right).}}
    0 references
    DLMF id
    DLMF:15.10.E13
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5129&oldid=29375"