DLMF:13.2.E3 (Q4293): 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.m5aadec
Property / Symbols used
 
Property / Symbols used: Q11558 / rank
 
Normal rank
Property / Symbols used: Q11558 / qualifier
 
test:

s 𝑠 {\displaystyle{\displaystyle s}}

s
Property / Symbols used: Q11558 / qualifier
 
xml-id: C13.S1.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1bdec

Latest revision as of 14:34, 2 January 2020

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DLMF:13.2.E3
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    Statements

    𝐌 ( a , b , z ) = s = 0 ( a ) s Γ ( b + s ) s ! z s , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 superscript subscript 𝑠 0 Pochhammer 𝑎 𝑠 Euler-Gamma 𝑏 𝑠 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\sum_{s=0}^{\infty}% \frac{{\left(a\right)_{s}}}{\Gamma\left(b+s\right)s!}z^{s},}}
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    Γ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    C5.S2.E1.m2adec
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    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1aadec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aadec
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    s 𝑠 {\displaystyle{\displaystyle s}}
    C13.S1.XMD3.m1adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C13.S1.XMD6.m1bdec
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