DLMF:33.17.E1 (Q9651): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: regular Coulomb function / rank
 
Normal rank
Property / Symbols used: regular Coulomb function / qualifier
 
Defining formula:

f ( ϵ , ; r ) Coulomb-f italic-ϵ 𝑟 {\displaystyle{\displaystyle f\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}

\regCoulombf@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}
Property / Symbols used: regular Coulomb function / qualifier
 
xml-id: C33.S14.E4.m2adec

Revision as of 14:36, 2 January 2020

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DLMF:33.17.E1
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    ( + 1 ) r f ( ϵ , - 1 ; r ) - ( 2 + 1 ) ( ( + 1 ) - r ) f ( ϵ , ; r ) + ( 1 + ( + 1 ) 2 ϵ ) r f ( ϵ , + 1 ; r ) = 0 , 1 𝑟 Coulomb-f italic-ϵ 1 𝑟 2 1 1 𝑟 Coulomb-f italic-ϵ 𝑟 1 superscript 1 2 italic-ϵ 𝑟 Coulomb-f italic-ϵ 1 𝑟 0 {\displaystyle{\displaystyle(\ell+1)rf\left(\epsilon,\ell-1;r\right)-(2\ell+1)% \left(\ell(\ell+1)-r\right)f\left(\epsilon,\ell;r\right)+\ell\left(1+(\ell+1)^% {2}\epsilon\right)rf\left(\epsilon,\ell+1;r\right)=0,}}
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    DLMF:33.17.E1
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    f ( ϵ , ; r ) Coulomb-f italic-ϵ 𝑟 {\displaystyle{\displaystyle f\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}
    C33.S14.E4.m2adec
    0 references