DLMF:2.5.E18 (Q794): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11007 / rank
 
Normal rank
Property / Symbols used: Q11007 / qualifier
 
Defining formula:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q11007 / qualifier
 
xml-id: C2.S5.XMD18.m1dec

Revision as of 17:04, 1 January 2020

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DLMF:2.5.E18
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    Statements

    Defining formula
    h ⁢ ( t ) ∼ exp ⁡ ( i ⁢ κ ⁢ t p ) ⁢ ∑ s = 0 ∞ b s ⁢ t - β s , asymptotic-expansion ℎ 𝑡 𝑖 𝜅 superscript 𝑡 𝑝 superscript subscript 𝑠 0 subscript 𝑏 𝑠 superscript 𝑡 subscript 𝛽 𝑠 {\displaystyle{\displaystyle h(t)\sim\exp\left(i\kappa t^{p}\right)\sum_{s=0}^% {\infty}b_{s}t^{-\beta_{s}},}}
    0 references
    DLMF id
    DLMF:2.5.E18
    0 references
    constraint
    t → + ∞ → 𝑡 {\displaystyle{\displaystyle t\to+\infty}}
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11aadec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
    Q11005
    Defining formula
    h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}}
    xml-id
    C2.S5.XMD16.m1dec
    0 references
    Q11006
    Defining formula
    κ 𝜅 {\displaystyle{\displaystyle\kappa}}
    xml-id
    C2.S5.XMD17.m1dec
    0 references
    Q11007
    Defining formula
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C2.S5.XMD18.m1dec
    0 references
     
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