DLMF:1.10.E4 (Q359): Difference between revisions

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imported>Admin
 
imported>Admin
Property / constraint
 

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
 
Normal rank

Revision as of 15:49, 30 December 2019

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DLMF:1.10.E4
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    Statements

    ( 1 - z ) - α = 1 + α z + α ( α + 1 ) 2 ! z 2 + α ( α + 1 ) ( α + 2 ) 3 ! z 3 + , superscript 1 𝑧 𝛼 1 𝛼 𝑧 𝛼 𝛼 1 2 superscript 𝑧 2 𝛼 𝛼 1 𝛼 2 3 superscript 𝑧 3 {\displaystyle{\displaystyle(1-z)^{-\alpha}=1+\alpha z+\frac{\alpha(\alpha+1)}% {2!}z^{2}+\frac{\alpha(\alpha+1)(\alpha+2)}{3!}z^{3}+\cdots,}}
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    Warning: Falling back to standard tex;
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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