DLMF:9.12.E28 (Q2956): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
Property / constraint
 

| ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}}

|\phase@{-z}|\leq\tfrac{2}{3}\pi-\delta
Property / constraint: | ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}} / rank
 
Normal rank

Revision as of 16:14, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:9.12.E28
No description defined

    Statements

    Hi ( z ) 1 π z 2 k = 0 ( 3 k + 1 ) ! k ! ( 3 z 3 ) k , asymptotic-expansion diffop Scorer-Hi 1 𝑧 1 𝜋 superscript 𝑧 2 superscript subscript 𝑘 0 3 𝑘 1 𝑘 superscript 3 superscript 𝑧 3 𝑘 {\displaystyle{\displaystyle\mathrm{Hi}'\left(z\right)\sim\frac{1}{\pi z^{2}}% \sum_{k=0}^{\infty}\frac{(3k+1)!}{k!(3z^{3})^{k}},}}
    0 references
    0 references
    | ph ( - z ) | 2 3 π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\tfrac{2}{3}% \pi-\delta}}
    0 references