DLMF:7.5.E2 (Q2348): Difference between revisions

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

ℱ ⁡ ( z ) Fresnel-integral 𝑧 {\displaystyle{\displaystyle\mathcal{F}\left(\NVar{z}\right)}}

\FresnelintF@{\NVar{z}}
Property / Symbols used: Fresnel integral / qualifier
 
xml-id: C7.S2.E6.m2adec

Revision as of 01:38, 2 January 2020

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DLMF:7.5.E2
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    Statements

    Defining formula
    C ⁡ ( z ) + i ⁢ S ⁡ ( z ) = 1 2 ⁢ ( 1 + i ) - ℱ ⁡ ( z ) . Fresnel-cosine-integral 𝑧 𝑖 Fresnel-sine-integral 𝑧 1 2 1 𝑖 Fresnel-integral 𝑧 {\displaystyle{\displaystyle C\left(z\right)+iS\left(z\right)=\tfrac{1}{2}(1+i% )-\mathcal{F}\left(z\right).}}
    0 references
    DLMF id
    DLMF:7.5.E2
    0 references
    Symbols used
    Fresnel integral
    Defining formula
    C ⁡ ( z ) Fresnel-cosine-integral 𝑧 {\displaystyle{\displaystyle C\left(\NVar{z}\right)}}
    xml-id
    C7.S2.E7.m2adec
    0 references
    Fresnel integral
    Defining formula
    ℱ ⁡ ( z ) Fresnel-integral 𝑧 {\displaystyle{\displaystyle\mathcal{F}\left(\NVar{z}\right)}}
    xml-id
    C7.S2.E6.m2adec
    0 references
     
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