DLMF:30.14.E9 (Q8942): Difference between revisions

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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: Q12408 / rank
 
Normal rank
Property / Symbols used: Q12408 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12408 / qualifier
 
xml-id: C30.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12409 / rank
 
Normal rank
Property / Symbols used: Q12409 / qualifier
 
Defining formula:

n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}

n\geq m
Property / Symbols used: Q12409 / qualifier
 
xml-id: C30.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12445 / rank
 
Normal rank
Property / Symbols used: Q12445 / qualifier
 
Defining formula:

ξ 𝜉 {\displaystyle{\displaystyle\xi}}

\xi
Property / Symbols used: Q12445 / qualifier
 
xml-id: C30.S14.XMD1.m1hdec
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.m1dec

Latest revision as of 13:22, 2 January 2020

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DLMF:30.14.E9
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    Statements

    S n m ( 1 ) ( i ξ 0 , γ ) = 0 . radial-spheroidal-wave-S 𝑚 1 𝑛 imaginary-unit subscript 𝜉 0 𝛾 0 {\displaystyle{\displaystyle S^{m(1)}_{n}\left(\mathrm{i}\xi_{0},\gamma\right)% =0.}}
    0 references
    DLMF:30.14.E9
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2aadec
    0 references
    S n m ( j ) ( z , γ ) radial-spheroidal-wave-S 𝑚 𝑗 𝑛 𝑧 𝛾 {\displaystyle{\displaystyle S^{\NVar{m}(\NVar{j})}_{\NVar{n}}\left(\NVar{z},% \NVar{\gamma}\right)}}
    C30.S11.E3.m2aadec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C30.S1.XMD4.m1adec
    0 references
    n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    C30.S1.XMD5.m1adec
    0 references
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    C30.S14.XMD1.m1hdec
    0 references
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    C30.S2.XMD3.m1dec
    0 references