DLMF:2.11.E18 (Q1043)

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DLMF:2.11.E18
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    Statements

    Defining formula
    h 0 ⁢ ( θ , α ) = e i ⁢ α ⁢ ( π - θ ) 1 + e - i ⁢ θ - i c ⁢ ( θ ) . subscript ℎ 0 𝜃 𝛼 superscript 𝑒 𝑖 𝛼 𝜋 𝜃 1 superscript 𝑒 𝑖 𝜃 𝑖 𝑐 𝜃 {\displaystyle{\displaystyle h_{0}(\theta,\alpha)=\frac{e^{i\alpha(\pi-\theta)% }}{1+e^{-i\theta}}-\frac{i}{c(\theta)}.}}
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    DLMF id
    DLMF:2.11.E18
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ajdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2akdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
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    Q11137
    Defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C2.S11.XMD4.m1fdec
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    Q11139
    Defining formula
    c ⁢ ( θ ) 𝑐 𝜃 {\displaystyle{\displaystyle c(\theta)}}
    xml-id
    C2.S11.XMD7.m1cdec
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    Q11140
    Defining formula
    h 2 ⁢ s ⁢ ( θ , α ) subscript ℎ 2 𝑠 𝜃 𝛼 {\displaystyle{\displaystyle h_{2s}(\theta,\alpha)}}
    xml-id
    C2.S11.XMD8.m1bdec
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