DLMF:29.14.E7 (Q8741): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: Q12357 / rank
 
Normal rank
Property / Symbols used: Q12357 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12357 / qualifier
 
xml-id: C29.S1.XMD1.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12367 / rank
 
Normal rank
Property / Symbols used: Q12367 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12367 / qualifier
 
xml-id: C29.S1.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1fdec

Latest revision as of 01:28, 2 January 2020

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English
DLMF:29.14.E7
No description defined

    Statements

    Defining formula
    𝑠𝑐𝐸 2 ⁢ n + 2 m ⁡ ( s , k 2 ) ⁢ 𝑠𝑐𝐸 2 ⁢ n + 2 m ⁡ ( K ⁡ + i ⁢ t , k 2 ) , Lame-polynomial-scE 𝑚 2 𝑛 2 𝑠 superscript 𝑘 2 Lame-polynomial-scE 𝑚 2 𝑛 2 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit 𝑡 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{scE}^{m}_{2n+2}\left(s,k^{2}\right)\mathit% {scE}^{m}_{2n+2}\left(K+\mathrm{i}t,k^{2}\right),}}
    0 references
    DLMF id
    DLMF:29.14.E7
    0 references
    Symbols used
    Lamé polynomial
    Defining formula
    𝑠𝑐𝐸 2 ⁢ n + 2 m ⁡ ( z , k 2 ) Lame-polynomial-scE 𝑚 2 𝑛 2 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{scE}^{\NVar{m}}_{2\NVar{n}+2}\left(\NVar{z% },\NVar{k^{2}}\right)}}
    xml-id
    C29.S12.E5.m2adec
    0 references
    Q11600
    Defining formula
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1afdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aedec
    0 references
    Q12357
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C29.S1.XMD1.m1ddec
    0 references
    Q12367
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C29.S1.XMD2.m1ddec
    0 references
    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1fdec
    0 references
     
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