DLMF:33.17.E4 (Q9654): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12692 / rank
 
Normal rank
Property / Symbols used: Q12692 / qualifier
 
Defining formula:

r 𝑟 {\displaystyle{\displaystyle r}}

r
Property / Symbols used: Q12692 / qualifier
 
xml-id: C33.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12693 / rank
 
Normal rank
Property / Symbols used: Q12693 / qualifier
 
Defining formula:

ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}

\epsilon
Property / Symbols used: Q12693 / qualifier
 
xml-id: C33.S1.XMD6.m1cdec

Latest revision as of 14:37, 2 January 2020

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DLMF:33.17.E4
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    Statements

    ( + 1 ) r h ( ϵ , ; r ) = ( ( + 1 ) 2 - r ) h ( ϵ , ; r ) - r h ( ϵ , + 1 ; r ) . 1 𝑟 diffop Coulomb-h 1 italic-ϵ 𝑟 superscript 1 2 𝑟 Coulomb-h italic-ϵ 𝑟 𝑟 Coulomb-h italic-ϵ 1 𝑟 {\displaystyle{\displaystyle(\ell+1)rh'\left(\epsilon,\ell;r\right)=\left((% \ell+1)^{2}-r\right)h\left(\epsilon,\ell;r\right)-rh\left(\epsilon,\ell+1;r% \right).}}
    0 references
    DLMF:33.17.E4
    0 references
    h ( ϵ , ; r ) Coulomb-h italic-ϵ 𝑟 {\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}
    C33.S14.E7.m2aadec
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    {\displaystyle{\displaystyle\ell}}
    C33.S1.XMD2.m1cdec
    0 references
    r 𝑟 {\displaystyle{\displaystyle r}}
    C33.S1.XMD3.m1cdec
    0 references
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    C33.S1.XMD6.m1cdec
    0 references