DLMF:13.2.E20 (Q4310): Difference between revisions

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Property / constraint
 

0 < b < 1 0 𝑏 1 {\displaystyle{\displaystyle 0<\Re b<1}}

0<\realpart@@{b}<1
Property / constraint: 0 < b < 1 0 𝑏 1 {\displaystyle{\displaystyle 0<\Re b<1}} / rank
 
Normal rank

Revision as of 16:45, 30 December 2019

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DLMF:13.2.E20
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    Statements

    U ( a , b , z ) = Γ ( 1 - b ) Γ ( a - b + 1 ) + O ( z 1 - b ) , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Euler-Gamma 1 𝑏 Euler-Gamma 𝑎 𝑏 1 Big-O superscript 𝑧 1 𝑏 {\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{\Gamma\left(1-b\right)}% {\Gamma\left(a-b+1\right)}+O\left(z^{1-\Re b}\right),}}
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    0 < b < 1 0 𝑏 1 {\displaystyle{\displaystyle 0<\Re b<1}}
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