DLMF:32.2.E10 (Q9164): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12524 / rank
 
Normal rank
Property / Symbols used: Q12524 / qualifier
 
Defining formula:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: Q12524 / qualifier
 
xml-id: C32.S2.XMD1.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12526 / rank
 
Normal rank
Property / Symbols used: Q12526 / qualifier
 
Defining formula:

γ 𝛾 {\displaystyle{\displaystyle\gamma}}

\gamma
Property / Symbols used: Q12526 / qualifier
 
xml-id: C32.S2.XMD3.m1ddec

Latest revision as of 13:48, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:32.2.E10
No description defined

    Statements

    Defining formula
    d 2 u d z 2 + 1 z ⁢ d u d z = 2 ⁢ α z ⁢ sin ⁡ u + 2 ⁢ γ ⁢ sin ⁡ ( 2 ⁢ u ) . derivative 𝑢 𝑧 2 1 𝑧 derivative 𝑢 𝑧 2 𝛼 𝑧 𝑢 2 𝛾 2 𝑢 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}z}^{2}}+\frac{% 1}{z}\frac{\mathrm{d}u}{\mathrm{d}z}=\frac{2\alpha}{z}\sin u+2\gamma\sin\left(% 2u\right).}}
    0 references
    DLMF id
    DLMF:32.2.E10
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    Defining formula
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2ahdec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q12523
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C32.S1.XMD4.m1hdec
    0 references
    Q12524
    Defining formula
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C32.S2.XMD1.m1fdec
    0 references
    Q12526
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C32.S2.XMD3.m1ddec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9164&oldid=40371"