DLMF:13.3.E8 (Q4342): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
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Property / Symbols used
 
Property / Symbols used: Kummer confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
Defining formula:

U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

\KummerconfhyperU@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Kummer confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E6.m2aadec

Revision as of 15:42, 2 January 2020

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DLMF:13.3.E8
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    Statements

    ( b - a - 1 ) U ( a , b - 1 , z ) + ( 1 - b - z ) U ( a , b , z ) + z U ( a , b + 1 , z ) = 0 , 𝑏 𝑎 1 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 1 𝑏 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 𝑧 Kummer-confluent-hypergeometric-U 𝑎 𝑏 1 𝑧 0 {\displaystyle{\displaystyle(b-a-1)U\left(a,b-1,z\right)+(1-b-z)U\left(a,b,z% \right)+zU\left(a,b+1,z\right)=0,}}
    0 references
    DLMF:13.3.E8
    0 references
    U ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    C13.S2.E6.m2aadec
    0 references