DLMF:13.6.E8 (Q4395): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec

Revision as of 15:51, 2 January 2020

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DLMF:13.6.E8
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    Statements

    Defining formula
    U ⁡ ( 1 2 , 1 2 , z 2 ) = π ⁢ e z 2 ⁢ erfc ⁡ ( z ) . Kummer-confluent-hypergeometric-U 1 2 1 2 superscript 𝑧 2 𝜋 superscript 𝑒 superscript 𝑧 2 complementary-error-function 𝑧 {\displaystyle{\displaystyle U\left(\tfrac{1}{2},\tfrac{1}{2},z^{2}\right)=% \sqrt{\pi}e^{z^{2}}\operatorname{erfc}\left(z\right).}}
    0 references
    DLMF id
    DLMF:13.6.E8
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    Defining formula
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
     
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