DLMF:13.2.E38 (Q4330): Difference between revisions

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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
 
test:

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.m2avdec

Revision as of 14:40, 2 January 2020

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DLMF:13.2.E38
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    𝒲 { U ( a , b , z ) , e z U ( b - a , b , e ± π i z ) } = e ± ( a - b ) π i z - b e z . Wronskian Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-U 𝑏 𝑎 𝑏 superscript 𝑒 plus-or-minus 𝜋 imaginary-unit 𝑧 superscript 𝑒 plus-or-minus 𝑎 𝑏 𝜋 imaginary-unit superscript 𝑧 𝑏 superscript 𝑒 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{U\left(a,b,z\right),e^{z}U\left(% b-a,b,e^{\pm\pi\mathrm{i}}z\right)\right\}=e^{\pm(a-b)\pi\mathrm{i}}z^{-b}e^{z% }.}}
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    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.m2avdec
    0 references