DLMF:13.3.E1 (Q4335): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
 
Defining formula:

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

\KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E2.m2adec

Revision as of 15:41, 2 January 2020

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DLMF:13.3.E1
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    Statements

    ( b - a ) M ( a - 1 , b , z ) + ( 2 a - b + z ) M ( a , b , z ) - a M ( a + 1 , b , z ) = 0 , 𝑏 𝑎 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 2 𝑎 𝑏 𝑧 Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 𝑎 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 0 {\displaystyle{\displaystyle(b-a)M\left(a-1,b,z\right)+(2a-b+z)M\left(a,b,z% \right)-aM\left(a+1,b,z\right)=0,}}
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    DLMF:13.3.E1
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    M ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    C13.S2.E2.m2adec
    0 references