DLMF:13.4.E13 (Q4376): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

| ph z | < 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}{z}|<\frac{1}{2}\pi}}

|\phase{z}|<\frac{1}{2}\pi
Property / constraint: | ph z | < 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}{z}|<\frac{1}{2}\pi}} / rank
 
Normal rank

Revision as of 17:46, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:13.4.E13
No description defined

    Statements

    𝐌 ( a , b , z ) = z 1 - b 2 π i - ( 0 + , 1 + ) e z t t - b ( 1 - 1 t ) - a d t , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 superscript 𝑧 1 𝑏 2 𝜋 imaginary-unit superscript subscript limit-from 0 limit-from 1 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑏 superscript 1 1 𝑡 𝑎 𝑡 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\frac{z^{1-b}}{2\pi% \mathrm{i}}\int_{-\infty}^{(0+,1+)}e^{zt}t^{-b}\!\left(1-\frac{1}{t}\right)^{-% a}\mathrm{d}t,}}
    0 references
    DLMF:13.4.E13
    0 references
    | ph z | < 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}{z}|<\frac{1}{2}\pi}}
    0 references