DLMF:10.36.E2 (Q3558): Difference between revisions

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Property / constraint
 

w = e ∓ z ⁢ 𝒵 ν ⁡ ( z ) 𝑤 superscript 𝑒 minus-or-plus 𝑧 modified-cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle w=e^{\mp z}\mathscr{Z}_{\nu}\left(z\right)}}

w=e^{\mp z}\modcylinder{\nu}@{z}
Property / constraint: w = e ∓ z ⁢ 𝒵 ν ⁡ ( z ) 𝑤 superscript 𝑒 minus-or-plus 𝑧 modified-cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle w=e^{\mp z}\mathscr{Z}_{\nu}\left(z\right)}} / rank
 
Normal rank

Revision as of 16:39, 30 December 2019

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DLMF:10.36.E2
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    Statements

    test
    z 2 ⁢ w ′′ + z ⁢ ( 1 ± 2 ⁢ z ) ⁢ w ′ + ( ± z - ν 2 ) ⁢ w = 0 , superscript 𝑧 2 superscript 𝑤 ′′ 𝑧 plus-or-minus 1 2 𝑧 superscript 𝑤 ′ plus-or-minus 𝑧 superscript 𝜈 2 𝑤 0 {\displaystyle{\displaystyle{z^{2}w^{\prime\prime}+z(1\pm 2z)w^{\prime}+(\pm z% -\nu^{2})w=0},}}
    0 references
    DLMF id
    DLMF:10.36.E2
    0 references
    comment
    Warning: Falling back to standard tex;
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    constraint
    w = e ∓ z ⁢ 𝒵 ν ⁡ ( z ) 𝑤 superscript 𝑒 minus-or-plus 𝑧 modified-cylinder-function 𝜈 𝑧 {\displaystyle{\displaystyle w=e^{\mp z}\mathscr{Z}_{\nu}\left(z\right)}}
    0 references
     
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