DLMF:28.25.E3 (Q8414): Difference between revisions

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Property / constraint
 

m 0 𝑚 0 {\displaystyle{\displaystyle m\geq 0}}

m\geq 0
Property / constraint: m 0 𝑚 0 {\displaystyle{\displaystyle m\geq 0}} / rank
 
Normal rank

Revision as of 17:24, 30 December 2019

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DLMF:28.25.E3
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    Statements

    ( m + 1 ) D m + 1 ± + ( ( m + 1 2 ) 2 ± ( m + 1 4 ) 8 i h + 2 h 2 - a ) D m ± ± ( m - 1 2 ) ( 8 i h m ) D m - 1 ± = 0 , plus-or-minus 𝑚 1 subscript superscript 𝐷 plus-or-minus 𝑚 1 plus-or-minus superscript 𝑚 1 2 2 𝑚 1 4 8 imaginary-unit 2 superscript 2 𝑎 subscript superscript 𝐷 plus-or-minus 𝑚 𝑚 1 2 8 imaginary-unit 𝑚 superscript subscript 𝐷 𝑚 1 plus-or-minus 0 {\displaystyle{\displaystyle(m+1)D^{\pm}_{m+1}+{\left((m+\tfrac{1}{2})^{2}\pm(% m+\tfrac{1}{4})8\mathrm{i}h+2h^{2}-a\right)D^{\pm}_{m}}\pm(m-\tfrac{1}{2})% \left(8\mathrm{i}hm\right)D_{m-1}^{\pm}=0,}}
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    m 0 𝑚 0 {\displaystyle{\displaystyle m\geq 0}}
    0 references