DLMF:8.12.E15 (Q2617): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10931 / rank
 
Normal rank
Property / Symbols used: Q10931 / qualifier
 
Defining formula:

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11abdec

Revision as of 13:58, 2 January 2020

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DLMF:8.12.E15
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    Statements

    Defining formula
    Q ⁡ ( a , a ) ∼ 1 2 + 1 2 ⁢ π ⁢ a ⁢ ∑ k = 0 ∞ c k ⁢ ( 0 ) ⁢ a - k , asymptotic-expansion incomplete-gamma-Q 𝑎 𝑎 1 2 1 2 𝜋 𝑎 superscript subscript 𝑘 0 subscript 𝑐 𝑘 0 superscript 𝑎 𝑘 {\displaystyle{\displaystyle Q\left(a,a\right)\sim\frac{1}{2}+\frac{1}{\sqrt{2% \pi a}}\sum_{k=0}^{\infty}c_{k}(0)a^{-k},}}
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    DLMF id
    DLMF:8.12.E15
    0 references
    constraint
    | ph ⁡ a | ≤ π - δ phase 𝑎 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}a|\leq\pi-\delta}}
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11abdec
    0 references
     
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