DLMF:13.3.E4 (Q4338): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1cdec

Latest revision as of 15:41, 2 January 2020

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DLMF:13.3.E4
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    Statements

    Defining formula
    b ⁢ M ⁡ ( a , b , z ) - b ⁢ M ⁡ ( a - 1 , b , z ) - z ⁢ M ⁡ ( a , b + 1 , z ) = 0 , 𝑏 Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 𝑏 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 𝑧 Kummer-confluent-hypergeometric-M 𝑎 𝑏 1 𝑧 0 {\displaystyle{\displaystyle bM\left(a,b,z\right)-bM\left(a-1,b,z\right)-zM% \left(a,b+1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.3.E4
    0 references
    Symbols used
    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    Defining formula
    M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E2.m2acdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1cdec
    0 references
     
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