DLMF:11.4.E9 (Q3941)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:11.4.E9
No description defined

    Statements

    Defining formula
    𝐇 3 2 ⁡ ( z ) = ( z 2 ⁢ π ) 1 2 ⁢ ( 1 + 2 z 2 ) - ( 2 π ⁢ z ) 1 2 ⁢ ( sin ⁡ z + cos ⁡ z z ) , Struve-H 3 2 𝑧 superscript 𝑧 2 𝜋 1 2 1 2 superscript 𝑧 2 superscript 2 𝜋 𝑧 1 2 𝑧 𝑧 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\frac{3}{2}}\left(z\right)=\left(\frac% {z}{2\pi}\right)^{\frac{1}{2}}\left(1+\frac{2}{z^{2}}\right)-\left(\frac{2}{% \pi z}\right)^{\frac{1}{2}}\left(\sin z+\frac{\cos z}{z}\right),}}
    0 references
    DLMF id
    DLMF:11.4.E9
    0 references
    Symbols used
    Struve function
    Defining formula
    𝐇 ν ⁡ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E1.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.m2afdec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1hdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3941&oldid=49401"