DLMF:29.2.E9 (Q8583): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: DLMF:23.2.E4 / rank
 
Normal rank
Property / Symbols used: DLMF:23.2.E4 / qualifier
 
Defining formula:

℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}

\Weierstrassplatt@@{\NVar{z}}{\NVar{\mathbb{L}}}
Property / Symbols used: DLMF:23.2.E4 / qualifier
 
xml-id: C23.S2.E4.m2adec
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.m2acdec
Property / Symbols used
 
Property / Symbols used: Q12351 / rank
 
Normal rank
Property / Symbols used: Q12351 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12351 / qualifier
 
xml-id: C29.S1.XMD9.m1ddec
Property / Symbols used
 
Property / Symbols used: DLMF:29.2.E7 / rank
 
Normal rank
Property / Symbols used: DLMF:29.2.E7 / qualifier
 
Defining formula:

g 𝑔 {\displaystyle{\displaystyle g}}

g
Property / Symbols used: DLMF:29.2.E7 / qualifier
 
xml-id: C29.S2.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: DLMF:29.2.E8 / rank
 
Normal rank
Property / Symbols used: DLMF:29.2.E8 / qualifier
 
Defining formula:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: DLMF:29.2.E8 / qualifier
 
xml-id: C29.S2.XMD6.m1adec

Latest revision as of 15:43, 2 January 2020

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DLMF:29.2.E9
No description defined

    Statements

    Defining formula
    d 2 w d η 2 + ( g - ν ⁢ ( ν + 1 ) ⁢ ℘ ⁡ ( η ) ) ⁢ w = 0 , derivative 𝑤 𝜂 2 𝑔 𝜈 𝜈 1 Weierstrass-P-on-lattice 𝜂 𝕃 𝑤 0 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}w}{{\mathrm{d}\eta}^{2}}+(g-% \nu(\nu+1)\wp\left(\eta\right))w=0,}}
    0 references
    DLMF id
    DLMF:29.2.E9
    0 references
    Symbols used
    DLMF:23.2.E4
    Defining formula
    ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E4.m2adec
    0 references
    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.m2acdec
    0 references
    Q12351
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1ddec
    0 references
    DLMF:29.2.E7
    Defining formula
    g 𝑔 {\displaystyle{\displaystyle g}}
    xml-id
    C29.S2.XMD5.m1adec
    0 references
    DLMF:29.2.E8
    Defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C29.S2.XMD6.m1adec
    0 references
     
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