DLMF:30.2.E2 (Q8820): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
Defining formula:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2aadec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
Defining formula:

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q12403 / rank
 
Normal rank
Property / Symbols used: Q12403 / qualifier
 
Defining formula:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q12403 / qualifier
 
xml-id: C30.S2.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
Defining formula:

γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q12405 / rank
 
Normal rank
Property / Symbols used: Q12405 / qualifier
 
Defining formula:

μ 𝜇 {\displaystyle{\displaystyle\mu}}

\mu
Property / Symbols used: Q12405 / qualifier
 
xml-id: C30.S2.XMD4.m1adec

Latest revision as of 01:40, 2 January 2020

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English
DLMF:30.2.E2
No description defined

    Statements

    Defining formula
    d 2 g d t 2 + ( λ + 1 4 + γ 2 ⁢ sin 2 ⁡ t - μ 2 - 1 4 sin 2 ⁡ t ) ⁢ g = 0 , derivative 𝑔 𝑡 2 𝜆 1 4 superscript 𝛾 2 2 𝑡 superscript 𝜇 2 1 4 2 𝑡 𝑔 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}g}{{\mathrm{d}t}^{2}}+\left(% \lambda+\frac{1}{4}+\gamma^{2}{\sin^{2}}t-\frac{\mu^{2}-\frac{1}{4}}{{\sin^{2}% }t}\right)g=0,}}
    0 references
    DLMF id
    DLMF:30.2.E2
    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.m2aadec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q12403
    Defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C30.S2.XMD2.m1adec
    0 references
    Q12404
    Defining formula
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    xml-id
    C30.S2.XMD3.m1adec
    0 references
    Q12405
    Defining formula
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C30.S2.XMD4.m1adec
    0 references
     
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