DLMF:12.8.E1 (Q4138)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:12.8.E1
No description defined

    Statements

    Defining formula
    z ⁢ U ⁡ ( a , z ) - U ⁡ ( a - 1 , z ) + ( a + 1 2 ) ⁢ U ⁡ ( a + 1 , z ) = 0 , 𝑧 parabolic-U 𝑎 𝑧 parabolic-U 𝑎 1 𝑧 𝑎 1 2 parabolic-U 𝑎 1 𝑧 0 {\displaystyle{\displaystyle zU\left(a,z\right)-U\left(a-1,z\right)+(a+\tfrac{% 1}{2})U\left(a+1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:12.8.E1
    0 references
    Symbols used
    Q11320
    Defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1adec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1dec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4138&oldid=55625"