DLMF:13.31.E3 (Q4678): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: expansion (locally) / rank
 
Normal rank
Property / Symbols used: expansion (locally) / qualifier
 
Defining formula:

B n ( z ) subscript 𝐵 𝑛 𝑧 {\displaystyle{\displaystyle B_{n}(z)}}

B_{n}(z)
Property / Symbols used: expansion (locally) / qualifier
 
xml-id: C13.S31.XMD2.m1adec

Latest revision as of 01:09, 2 January 2020

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DLMF:13.31.E3
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    Statements

    z a U ( a , 1 + a - b , z ) = lim n A n ( z ) B n ( z ) . superscript 𝑧 𝑎 Kummer-confluent-hypergeometric-U 𝑎 1 𝑎 𝑏 𝑧 subscript 𝑛 subscript 𝐴 𝑛 𝑧 subscript 𝐵 𝑛 𝑧 {\displaystyle{\displaystyle z^{a}U\left(a,1+a-b,z\right)=\lim_{n\to\infty}% \frac{A_{n}(z)}{B_{n}(z)}.}}
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    DLMF:13.31.E3
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    U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    C13.S2.E6.m2adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C13.S1.XMD2.m1bdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C13.S1.XMD6.m1bdec
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    A n ( z ) subscript 𝐴 𝑛 𝑧 {\displaystyle{\displaystyle A_{n}(z)}}
    C13.S31.XMD1.m1adec
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    B n ( z ) subscript 𝐵 𝑛 𝑧 {\displaystyle{\displaystyle B_{n}(z)}}
    C13.S31.XMD2.m1adec
    0 references