DLMF:33.17.E2 (Q9652)

From DRMF
Revision as of 14:36, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:33.17.E2
No description defined

    Statements

    Defining formula
    ( ℓ + 1 ) ⁢ ( 1 + ℓ 2 ⁢ ϵ ) ⁢ r ⁢ h ⁡ ( ϵ , ℓ - 1 ; r ) - ( 2 ⁢ ℓ + 1 ) ⁢ ( ℓ ⁢ ( ℓ + 1 ) - r ) ⁢ h ⁡ ( ϵ , ℓ ; r ) + ℓ ⁢ r ⁢ h ⁡ ( ϵ , ℓ + 1 ; r ) = 0 , ℓ 1 1 superscript ℓ 2 italic-ϵ 𝑟 Coulomb-h italic-ϵ ℓ 1 𝑟 2 ℓ 1 ℓ ℓ 1 𝑟 Coulomb-h italic-ϵ ℓ 𝑟 ℓ 𝑟 Coulomb-h italic-ϵ ℓ 1 𝑟 0 {\displaystyle{\displaystyle(\ell+1)\left(1+\ell^{2}\epsilon\right)rh\left(% \epsilon,\ell-1;r\right)-(2\ell+1)\left(\ell(\ell+1)-r\right)h\left(\epsilon,% \ell;r\right)+\ell rh\left(\epsilon,\ell+1;r\right)=0,}}
    0 references
    DLMF id
    DLMF:33.17.E2
    0 references
    Symbols used
    irregular Coulomb function
    Defining formula
    h ⁡ ( ϵ , ℓ ; r ) Coulomb-h italic-ϵ ℓ 𝑟 {\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}
    xml-id
    C33.S14.E7.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9652&oldid=48964"