DLMF:7.6.E4 (Q2363): 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: 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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec
Property / Symbols used
 
Property / Symbols used: Q11312 / rank
 
Normal rank
Property / Symbols used: Q11312 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11312 / qualifier
 
xml-id: C7.S1.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11314 / rank
 
Normal rank
Property / Symbols used: Q11314 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11314 / qualifier
 
xml-id: C7.S1.XMD3.m1cdec

Latest revision as of 01:41, 2 January 2020

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DLMF:7.6.E4
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    Statements

    C ( z ) = n = 0 ( - 1 ) n ( 1 2 π ) 2 n ( 2 n ) ! ( 4 n + 1 ) z 4 n + 1 , Fresnel-cosine-integral 𝑧 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 1 2 𝜋 2 𝑛 2 𝑛 4 𝑛 1 superscript 𝑧 4 𝑛 1 {\displaystyle{\displaystyle C\left(z\right)=\sum_{n=0}^{\infty}\frac{(-1)^{n}% (\frac{1}{2}\pi)^{2n}}{(2n)!(4n+1)}z^{4n+1},}}
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    DLMF:7.6.E4
    0 references
    C ( z ) Fresnel-cosine-integral 𝑧 {\displaystyle{\displaystyle C\left(\NVar{z}\right)}}
    C7.S2.E7.m2adec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references
    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C7.S1.XMD2.m1cdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C7.S1.XMD3.m1cdec
    0 references