DLMF:18.28.E12 (Q5987): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11728 / rank
 
Normal rank
Property / Symbols used: Q11728 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11728 / qualifier
 
xml-id: C18.S1.XMD3.m1idec

Latest revision as of 13:22, 2 January 2020

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DLMF:18.28.E12
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    Statements

    Defining formula
    0 < q < 1 , a / i , b / i ∈ ℝ , ( ℑ ⁡ a ) ⁢ ( ℑ ⁡ b ) > 0 , a - 1 ⁢ b < q - 1 . formulae-sequence 0 𝑞 1 𝑎 imaginary-unit 𝑏 imaginary-unit formulae-sequence 𝑎 𝑏 0 superscript 𝑎 1 𝑏 superscript 𝑞 1 {\displaystyle{\displaystyle 0<q<1,\ifrac{a}{\mathrm{i}},\ifrac{b}{\mathrm{i}}% \in\mathbb{R},(\Im a)(\Im b)>0,a^{-1}b<q^{-1}.}}
    0 references
    DLMF id
    DLMF:18.28.E12
    0 references
    Symbols used
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
    Q10901
    Defining formula
    ℑ ⁡ absent {\displaystyle{\displaystyle\Im}}
    xml-id
    C1.S9.E2.m2adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
    Q10812
    Defining formula
    ℝ {\displaystyle{\displaystyle\mathbb{R}}}
    xml-id
    introduction.Sx4.p2.t1.r14.m2abdec
    0 references
    Q11728
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1idec
    0 references
     
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