DLMF:14.5.E30 (Q4742): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11597 / rank
 
Normal rank
Property / Symbols used: Q11597 / qualifier
 
Defining formula:

𝑸 ν ( z ) = 𝑸 ν 0 ( z ) shorthand-associated-Legendre-black-Q 𝜈 𝑧 associated-Legendre-black-Q 0 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}

\assLegendreOlverQ[]{\NVar{\nu}}@{\NVar{z}}=\assLegendreOlverQ[0]{\nu}@{z}
Property / Symbols used: Q11597 / qualifier
 
xml-id: C14.S2.SS2.p2.m6addec
Property / Symbols used
 
Property / Symbols used: Q11589 / rank
 
Normal rank
Property / Symbols used: Q11589 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11589 / qualifier
 
xml-id: C14.S1.XMD1.m1jdec

Latest revision as of 01:25, 2 January 2020

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DLMF:14.5.E30
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    Statements

    𝑸 2 ( x ) = 3 x 2 - 1 8 ln ( x + 1 x - 1 ) - 3 4 x . shorthand-associated-Legendre-black-Q 2 𝑥 3 superscript 𝑥 2 1 8 𝑥 1 𝑥 1 3 4 𝑥 {\displaystyle{\displaystyle\boldsymbol{Q}_{2}\left(x\right)=\frac{3x^{2}-1}{8% }\ln\left(\frac{x+1}{x-1}\right)-\frac{3}{4}x.}}
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    DLMF:14.5.E30
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aedec
    0 references
    𝑸 ν ( z ) = 𝑸 ν 0 ( z ) shorthand-associated-Legendre-black-Q 𝜈 𝑧 associated-Legendre-black-Q 0 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}
    C14.S2.SS2.p2.m6addec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C14.S1.XMD1.m1jdec
    0 references