DLMF:15.5.E4 (Q5021)

From testwiki
Revision as of 14:46, 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:15.5.E4
No description defined

    Statements

    test
    d n d z n ⁡ ( z c - 1 ⁢ F ⁡ ( a , b ; c ; z ) ) = ( c - n ) n ⁢ z c - n - 1 ⁢ F ⁡ ( a , b ; c - n ; z ) . derivative 𝑧 𝑛 superscript 𝑧 𝑐 1 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑧 Pochhammer 𝑐 𝑛 𝑛 superscript 𝑧 𝑐 𝑛 1 Gauss-hypergeometric-F 𝑎 𝑏 𝑐 𝑛 𝑧 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}\left(z^% {c-1}F\left(a,b;c;z\right)\right)={\left(c-n\right)_{n}}z^{c-n-1}F\left(a,b;c-% n;z\right).}}
    0 references
    DLMF id
    DLMF:15.5.E4
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5021&oldid=28502"