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DLMF:9.9.E21 - MaRDI portal

DLMF:9.9.E21 (Q3580)

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DLMF:9.9.E21
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    Statements

    DLMF defining formula
    W ⁢ ( t ) ∼ π - 1 / 2 ⁢ t - 1 / 6 ⁢ ( 1 - 7 96 ⁢ t - 2 + 1673 6144 ⁢ t - 4 - 843 94709 265 42080 ⁢ t - 6 + 78 02771 35421 1 01921 58720 ⁢ t - 8 - 20444 90510 51945 6 52298 15808 ⁢ t - 10 + ⋯ ) . asymptotic-expansion 𝑊 𝑡 superscript 𝜋 1 2 superscript 𝑡 1 6 1 7 96 superscript 𝑡 2 1673 6144 superscript 𝑡 4 843 94709 265 42080 superscript 𝑡 6 78 02771 35421 1 01921 58720 superscript 𝑡 8 20444 90510 51945 6 52298 15808 superscript 𝑡 10 ⋯ {\displaystyle{\displaystyle W(t)\sim\pi^{-1/2}t^{-1/6}\left(1-\frac{7}{96}t^{% -2}+\frac{1673}{6144}t^{-4}-\frac{843\;94709}{265\;42080}t^{-6}+\frac{78\;0277% 1\;35421}{1\;01921\;58720}t^{-8}-\frac{20444\;90510\;51945}{6\;52298\;15808}t^% {-10}+\cdots\right).}}
    0 references
    Symbols used
    Q10905
    DLMF defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aqdec
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    Identifiers

     
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