DLMF:2.5.E34 (Q810): Difference between revisions

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Property / constraint
 

y → ± ∞ → 𝑦 plus-or-minus {\displaystyle{\displaystyle y\to\pm\infty}}

y\to\pm\infty
Property / constraint: y → ± ∞ → 𝑦 plus-or-minus {\displaystyle{\displaystyle y\to\pm\infty}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2afdec
Property / Symbols used
 
Property / Symbols used: Q10775 / rank
 
Normal rank
Property / Symbols used: Q10775 / qualifier
 
test:

sup supremum {\displaystyle{\displaystyle\sup}}

\sup
Property / Symbols used: Q10775 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r26.m2adec
Property / Symbols used
 
Property / Symbols used: Q11010 / rank
 
Normal rank
Property / Symbols used: Q11010 / qualifier
 
test:

G j ⁢ k ⁢ ( z ) subscript 𝐺 𝑗 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)}}

G_{jk}(z)
Property / Symbols used: Q11010 / qualifier
 
xml-id: C2.S5.XMD21.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11011 / rank
 
Normal rank
Property / Symbols used: Q11011 / qualifier
 
test:

p j ⁢ k subscript 𝑝 𝑗 𝑘 {\displaystyle{\displaystyle p_{jk}}}

p_{jk}
Property / Symbols used: Q11011 / qualifier
 
xml-id: C2.S5.XMD22.m1adec
Property / Symbols used
 
Property / Symbols used: Q11012 / rank
 
Normal rank
Property / Symbols used: Q11012 / qualifier
 
test:

q j ⁢ k > p j ⁢ k subscript 𝑞 𝑗 𝑘 subscript 𝑝 𝑗 𝑘 {\displaystyle{\displaystyle q_{jk}>p_{jk}}}

q_{jk}>p_{jk}
Property / Symbols used: Q11012 / qualifier
 
xml-id: C2.S5.XMD23.m1dec

Latest revision as of 16:05, 1 January 2020

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DLMF:2.5.E34
No description defined

    Statements

    test
    sup p j ⁢ k ≤ x ≤ q j ⁢ k ⁡ | G j ⁢ k ⁢ ( x + i ⁢ y ) | → 0 , → subscript supremum subscript 𝑝 𝑗 𝑘 𝑥 subscript 𝑞 𝑗 𝑘 subscript 𝐺 𝑗 𝑘 𝑥 𝑖 𝑦 0 {\displaystyle{\displaystyle\sup_{p_{jk}\leq x\leq q_{jk}}\left|G_{jk}(x+iy)% \right|\to 0,}}
    0 references
    DLMF id
    DLMF:2.5.E34
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    y → ± ∞ → 𝑦 plus-or-minus {\displaystyle{\displaystyle y\to\pm\infty}}
    0 references
    Symbols used
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2afdec
    0 references
    Q10775
    test
    sup supremum {\displaystyle{\displaystyle\sup}}
    xml-id
    introduction.Sx4.p1.t1.r26.m2adec
    0 references
    Q11010
    test
    G j ⁢ k ⁢ ( z ) subscript 𝐺 𝑗 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)}}
    xml-id
    C2.S5.XMD21.m1bdec
    0 references
    Q11011
    test
    p j ⁢ k subscript 𝑝 𝑗 𝑘 {\displaystyle{\displaystyle p_{jk}}}
    xml-id
    C2.S5.XMD22.m1adec
    0 references
    Q11012
    test
    q j ⁢ k > p j ⁢ k subscript 𝑞 𝑗 𝑘 subscript 𝑝 𝑗 𝑘 {\displaystyle{\displaystyle q_{jk}>p_{jk}}}
    xml-id
    C2.S5.XMD23.m1dec
    0 references
     
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