DLMF:13.5.E3 (Q4385): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11564 / rank
 
Normal rank
Property / Symbols used: Q11564 / qualifier
 
Defining formula:

v n subscript 𝑣 𝑛 {\displaystyle{\displaystyle v_{n}}}

v_{n}
Property / Symbols used: Q11564 / qualifier
 
xml-id: C13.S5.XMD2.m1dec

Latest revision as of 15:50, 2 January 2020

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DLMF:13.5.E3
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    Statements

    Defining formula
    U ⁡ ( a , b , z ) U ⁡ ( a , b - 1 , z ) = 1 + v 1 / z 1 + v 2 / z 1 + ⋯ , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 1 continued-fraction subscript 𝑣 1 𝑧 1 continued-fraction subscript 𝑣 2 𝑧 1 ⋯ {\displaystyle{\displaystyle\frac{U\left(a,b,z\right)}{U\left(a,b-1,z\right)}=% 1+\cfrac{v_{1}/z}{1+\cfrac{v_{2}/z}{1+\cdots}},}}
    0 references
    DLMF id
    DLMF:13.5.E3
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    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.m2adec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1adec
    0 references
    Q11564
    Defining formula
    v n subscript 𝑣 𝑛 {\displaystyle{\displaystyle v_{n}}}
    xml-id
    C13.S5.XMD2.m1dec
    0 references
     
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