DLMF:29.8.E2 (Q8705): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11600 / rank
 
Normal rank
Property / Symbols used: Q11600 / qualifier
 
Defining formula:

K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}

\compellintKk@{\NVar{k}}
Property / Symbols used: Q11600 / qualifier
 
xml-id: C19.S2.E8.m1adec

Revision as of 01:22, 2 January 2020

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DLMF:29.8.E2
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    Statements

    μ w ( z 1 ) w ( z 2 ) w ( z 3 ) = - 2 K 2 K 𝖯 ν ( x ) w ( z ) d z , 𝜇 𝑤 subscript 𝑧 1 𝑤 subscript 𝑧 2 𝑤 subscript 𝑧 3 superscript subscript 2 complete-elliptic-integral-first-kind-K 𝑘 2 complete-elliptic-integral-first-kind-K 𝑘 shorthand-Ferrers-Legendre-P-first-kind 𝜈 𝑥 𝑤 𝑧 𝑧 {\displaystyle{\displaystyle\mu w(z_{1})w(z_{2})w(z_{3})=\int_{-2K}^{2K}% \mathsf{P}_{\nu}\left(x\right)w(z)\mathrm{d}z,}}
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    DLMF:29.8.E2
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    K ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    C19.S2.E8.m1adec
    0 references