DLMF:13.2.E33 (Q4325): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Olver’s confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier
 
Defining formula:

𝐌 ( a , b , z ) Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}

\OlverconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E3.m2aedec

Revision as of 15:39, 2 January 2020

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DLMF:13.2.E33
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    𝒲 { 𝐌 ( a , b , z ) , z 1 - b 𝐌 ( a - b + 1 , 2 - b , z ) } = sin ( π b ) z - b e z / π , Wronskian Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 superscript 𝑧 1 𝑏 Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 1 2 𝑏 𝑧 𝜋 𝑏 superscript 𝑧 𝑏 superscript 𝑒 𝑧 𝜋 {\displaystyle{\displaystyle\mathscr{W}\left\{{\mathbf{M}}\left(a,b,z\right),z% ^{1-b}{\mathbf{M}}\left(a-b+1,2-b,z\right)\right\}=\sin\left(\pi b\right)z^{-b% }e^{z}/\pi,}}
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    DLMF:13.2.E33
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    𝐌 ( a , b , z ) Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}
    C13.S2.E3.m2aedec
    0 references