DLMF:13.2.E18 (Q4308): Difference between revisions

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1 b < 2 1 𝑏 2 {\displaystyle{\displaystyle 1\leq\Re b<2}}

1\leq\realpart@@{b}<2
Property / constraint: 1 b < 2 1 𝑏 2 {\displaystyle{\displaystyle 1\leq\Re b<2}} / rank
 
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Revision as of 17:44, 30 December 2019

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DLMF:13.2.E18
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    U ( a , b , z ) = Γ ( b - 1 ) Γ ( a ) z 1 - b + Γ ( 1 - b ) Γ ( a - b + 1 ) + O ( z 2 - b ) , Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 Euler-Gamma 𝑏 1 Euler-Gamma 𝑎 superscript 𝑧 1 𝑏 Euler-Gamma 1 𝑏 Euler-Gamma 𝑎 𝑏 1 Big-O superscript 𝑧 2 𝑏 {\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{\Gamma\left(b-1\right)}% {\Gamma\left(a\right)}z^{1-b}+\frac{\Gamma\left(1-b\right)}{\Gamma\left(a-b+1% \right)}+O\left(z^{2-\Re b}\right),}}
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    DLMF:13.2.E18
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    1 b < 2 1 𝑏 2 {\displaystyle{\displaystyle 1\leq\Re b<2}}
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