DLMF:14.20.E13 (Q4934): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1acdec

Revision as of 13:35, 2 January 2020

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DLMF:14.20.E13
No description defined

    Statements

    Defining formula
    P - 1 2 + i ⁢ τ ⁡ ( x ) = cosh ⁡ ( τ ⁢ π ) π ⁢ ∫ 1 ∞ P - 1 2 + i ⁢ τ ⁡ ( t ) x + t ⁢ d t , shorthand-Legendre-P-first-kind 1 2 𝑖 𝜏 𝑥 𝜏 𝜋 𝜋 superscript subscript 1 shorthand-Legendre-P-first-kind 1 2 𝑖 𝜏 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle P_{-\frac{1}{2}+i\tau}\left(x\right)=\frac{\cosh% \left(\tau\pi\right)}{\pi}\int_{1}^{\infty}\frac{P_{-\frac{1}{2}+i\tau}\left(t% \right)}{x+t}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:14.20.E13
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ahdec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
     
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