DLMF:13.3.E12 (Q4346): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Kummer confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
test:

U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E6.m2aedec
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1kdec

Latest revision as of 14:42, 2 January 2020

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DLMF:13.3.E12
No description defined

    Statements

    test
    ( a - 1 + z ) ⁢ U ⁡ ( a , b , z ) - U ⁡ ( a - 1 , b , z ) + ( a - b + 1 ) ⁢ U ⁡ ( a , b - 1 , z ) = 0 . 𝑎 1 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Kummer-confluent-hypergeometric-U 𝑎 1 𝑏 𝑧 𝑎 𝑏 1 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 0 {\displaystyle{\displaystyle(a-1+z)U\left(a,b,z\right)-U\left(a-1,b,z\right)+(% a-b+1)U\left(a,b-1,z\right)=0.}}
    0 references
    DLMF id
    DLMF:13.3.E12
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    test
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2aedec
    0 references
    Q11557
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1kdec
    0 references
     
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