DLMF:12.8.E5 (Q4142)

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DLMF:12.8.E5
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    Statements

    Defining formula
    z ⁢ V ⁡ ( a , z ) - V ⁡ ( a + 1 , z ) + ( a - 1 2 ) ⁢ V ⁡ ( a - 1 , z ) = 0 , 𝑧 parabolic-V 𝑎 𝑧 parabolic-V 𝑎 1 𝑧 𝑎 1 2 parabolic-V 𝑎 1 𝑧 0 {\displaystyle{\displaystyle zV\left(a,z\right)-V\left(a+1,z\right)+(a-\tfrac{% 1}{2})V\left(a-1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:12.8.E5
    0 references
    Symbols used
    Q11517
    Defining formula
    V ⁡ ( a , z ) parabolic-V 𝑎 𝑧 {\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m2adec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1ddec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1ddec
    0 references
     
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