DLMF:13.2.E2 (Q4292): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11384 / rank
 
Normal rank
Property / Symbols used: Q11384 / qualifier
 
test:

F 1 1 ( a ; b ; z ) Kummer-confluent-hypergeometric-M-as-1F1 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}

\genhyperF{1}{1}@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Q11384 / qualifier
 
xml-id: C16.S2.m7adec

Revision as of 14:34, 2 January 2020

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DLMF:13.2.E2
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    M ( a , b , z ) = s = 0 ( a ) s ( b ) s s ! z s = 1 + a b z + a ( a + 1 ) b ( b + 1 ) 2 ! z 2 + , Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 superscript subscript 𝑠 0 Pochhammer 𝑎 𝑠 Pochhammer 𝑏 𝑠 𝑠 superscript 𝑧 𝑠 1 𝑎 𝑏 𝑧 𝑎 𝑎 1 𝑏 𝑏 1 2 superscript 𝑧 2 {\displaystyle{\displaystyle M\left(a,b,z\right)=\sum_{s=0}^{\infty}\frac{{% \left(a\right)_{s}}}{{\left(b\right)_{s}}s!}z^{s}=1+\frac{a}{b}z+\frac{a(a+1)}% {b(b+1)2!}z^{2}+\cdots,}}
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    F 1 1 ( a ; b ; z ) Kummer-confluent-hypergeometric-M-as-1F1 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}
    C16.S2.m7adec
    0 references