DLMF:4.6.E7 (Q1576): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: Q11221 / rank
 
Normal rank
Property / Symbols used: Q11221 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11221 / qualifier
 
xml-id: C4.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1fdec

Latest revision as of 17:08, 1 January 2020

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DLMF:4.6.E7
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    Statements

    ( 1 + z ) a = 1 + a 1 ! z + a ( a - 1 ) 2 ! z 2 + a ( a - 1 ) ( a - 2 ) 3 ! z 3 + , superscript 1 𝑧 𝑎 1 𝑎 1 𝑧 𝑎 𝑎 1 2 superscript 𝑧 2 𝑎 𝑎 1 𝑎 2 3 superscript 𝑧 3 {\displaystyle{\displaystyle(1+z)^{a}=1+\frac{a}{1!}z+\frac{a(a-1)}{2!}z^{2}+% \frac{a(a-1)(a-2)}{3!}z^{3}+\cdots,}}
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    Warning: Falling back to standard tex;
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5adec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C4.S1.XMD4.m1adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1fdec
    0 references