DLMF:7.5.E3 (Q2349): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: auxiliary function for Fresnel integrals / rank
 
Normal rank
Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
 
Defining formula:

f ( z ) Fresnel-auxilliary-function-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}

\auxFresnelf@{\NVar{z}}
Property / Symbols used: auxiliary function for Fresnel integrals / qualifier
 
xml-id: C7.S2.E10.m2adec

Revision as of 01:38, 2 January 2020

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DLMF:7.5.E3
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    Statements

    C ( z ) = 1 2 + f ( z ) sin ( 1 2 π z 2 ) - g ( z ) cos ( 1 2 π z 2 ) , Fresnel-cosine-integral 𝑧 1 2 Fresnel-auxilliary-function-f 𝑧 1 2 𝜋 superscript 𝑧 2 Fresnel-auxilliary-function-g 𝑧 1 2 𝜋 superscript 𝑧 2 {\displaystyle{\displaystyle C\left(z\right)=\tfrac{1}{2}+\mathrm{f}\left(z% \right)\sin\left(\tfrac{1}{2}\pi z^{2}\right)-\mathrm{g}\left(z\right)\cos% \left(\tfrac{1}{2}\pi z^{2}\right),}}
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    DLMF:7.5.E3
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    f ( z ) Fresnel-auxilliary-function-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}
    C7.S2.E10.m2adec
    0 references