DLMF:28.31.E3 (Q8515): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
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: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12274 / rank
 
Normal rank
Property / Symbols used: Q12274 / qualifier
 
Defining formula:

w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q12274 / qualifier
 
xml-id: C28.S2.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12326 / rank
 
Normal rank
Property / Symbols used: Q12326 / qualifier
 
Defining formula:

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

\eta
Property / Symbols used: Q12326 / qualifier
 
xml-id: C28.S31.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12327 / rank
 
Normal rank
Property / Symbols used: Q12327 / qualifier
 
Defining formula:

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

\xi
Property / Symbols used: Q12327 / qualifier
 
xml-id: C28.S31.XMD5.m1adec

Latest revision as of 15:37, 2 January 2020

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DLMF:28.31.E3
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    Statements

    w ′′ + ξ sin ( 2 z ) w + ( η - p ξ cos ( 2 z ) ) w = 0 . superscript 𝑤 ′′ 𝜉 2 𝑧 superscript 𝑤 𝜂 𝑝 𝜉 2 𝑧 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\xi\sin\left(2z\right)w^{\prime}% +(\eta-p\xi\cos\left(2z\right))w=0.}}
    0 references
    DLMF:28.31.E3
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2abdec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1bdec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1adec
    0 references
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    C28.S31.XMD4.m1adec
    0 references
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    C28.S31.XMD5.m1adec
    0 references