DLMF:16.3.E6 (Q5193)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:16.3.E6
No description defined

    Statements

    Defining formula
    z ⁢ F 1 0 ⁡ ( - ; b + 1 ; z ) + b ⁢ ( b - 1 ) ⁢ F 1 0 ⁡ ( - ; b ; z ) - b ⁢ ( b - 1 ) ⁢ F 1 0 ⁡ ( - ; b - 1 ; z ) = 0 , 𝑧 Gauss-hypergeometric-pFq 0 1 𝑏 1 𝑧 𝑏 𝑏 1 Gauss-hypergeometric-pFq 0 1 𝑏 𝑧 𝑏 𝑏 1 Gauss-hypergeometric-pFq 0 1 𝑏 1 𝑧 0 {\displaystyle{\displaystyle z{{}_{0}F_{1}}\left(-;b+1;z\right)+b(b-1){{}_{0}F% _{1}}\left(-;b;z\right)-b(b-1){{}_{0}F_{1}}\left(-;b-1;z\right)=0,}}
    0 references
    DLMF id
    DLMF:16.3.E6
    0 references
    Symbols used
    Q11125
    Defining formula
    F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
    xml-id
    C16.S2.m1addec
    0 references
    Q11692
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C16.S1.XMD3.m1edec
    0 references
    Q11694
    Defining formula
    b , b 1 , … , b q 𝑏 subscript 𝑏 1 … subscript 𝑏 𝑞 {\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}
    xml-id
    C16.S1.XMD5.m1ddec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5193&oldid=47790"