DLMF:2.11.E18 (Q1043): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11139 / rank
 
Normal rank
Property / Symbols used: Q11139 / qualifier
 
Defining formula:

c ⁢ ( θ ) 𝑐 𝜃 {\displaystyle{\displaystyle c(\theta)}}

c(\theta)
Property / Symbols used: Q11139 / qualifier
 
xml-id: C2.S11.XMD7.m1cdec

Revision as of 17:41, 1 January 2020

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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)}.}}
    0 references
    DLMF id
    DLMF:2.11.E18
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    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
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2akdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
    0 references
    Q11137
    Defining formula
    θ 𝜃 {\displaystyle{\displaystyle\theta}}
    xml-id
    C2.S11.XMD4.m1fdec
    0 references
    Q11139
    Defining formula
    c ⁢ ( θ ) 𝑐 𝜃 {\displaystyle{\displaystyle c(\theta)}}
    xml-id
    C2.S11.XMD7.m1cdec
    0 references
     
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