DLMF:12.8.E3 (Q4140): Difference between revisions

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‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1bdec

Latest revision as of 15:14, 2 January 2020

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DLMF:12.8.E3
No description defined

    Statements

    Defining formula
    U ′ ⁡ ( a , z ) - 1 2 ⁢ z ⁢ U ⁡ ( a , z ) + U ⁡ ( a - 1 , z ) = 0 , diffop parabolic-U 1 𝑎 𝑧 1 2 𝑧 parabolic-U 𝑎 𝑧 parabolic-U 𝑎 1 𝑧 0 {\displaystyle{\displaystyle U'\left(a,z\right)-\tfrac{1}{2}zU\left(a,z\right)% +U\left(a-1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:12.8.E3
    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.m1abdec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1bdec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1bdec
    0 references
     
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