DLMF:33.22.E3 (Q9687): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 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.m1adec
Property / Symbols used
 
Property / Symbols used: Q12707 / rank
 
Normal rank
Property / Symbols used: Q12707 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12707 / qualifier
 
xml-id: C33.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12703 / rank
 
Normal rank
Property / Symbols used: Q12703 / qualifier
 
Defining formula:

Z k subscript 𝑍 𝑘 {\displaystyle{\displaystyle Z_{k}}}

Z_{k}
Property / Symbols used: Q12703 / qualifier
 
xml-id: C33.S22.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12708 / rank
 
Normal rank
Property / Symbols used: Q12708 / qualifier
 
Defining formula:

𝗄 𝗄 {\displaystyle{\displaystyle\mathsf{k}}}

\mathsf{k}
Property / Symbols used: Q12708 / qualifier
 
xml-id: C33.S22.XMD6.m1adec

Latest revision as of 14:40, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:33.22.E3
No description defined

    Statements

    d 2 w d x 2 + ( 𝗄 2 - 2 Z x - ( + 1 ) x 2 ) w = 0 . derivative 𝑤 𝑥 2 superscript 𝗄 2 2 𝑍 𝑥 1 superscript 𝑥 2 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}x}^{2}}+\left(% {\sf k}^{2}-\frac{2Z}{x}-\frac{\ell(\ell+1)}{x^{2}}\right)w=0.}}
    0 references
    DLMF:33.22.E3
    0 references
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2aadec
    0 references
    {\displaystyle{\displaystyle\ell}}
    C33.S1.XMD2.m1adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C33.S1.XMD4.m1adec
    0 references
    Z k subscript 𝑍 𝑘 {\displaystyle{\displaystyle Z_{k}}}
    C33.S22.XMD1.m1bdec
    0 references
    𝗄 𝗄 {\displaystyle{\displaystyle\mathsf{k}}}
    C33.S22.XMD6.m1adec
    0 references