DLMF:13.4.E1 (Q4364): 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
 

b > a > 0 𝑏 𝑎 0 {\displaystyle{\displaystyle\Re b>\Re a>0}}

\realpart@@{b}>\realpart@@{a}>0
Property / constraint: b > a > 0 𝑏 𝑎 0 {\displaystyle{\displaystyle\Re b>\Re a>0}} / rank
 
Normal rank

Revision as of 17:45, 30 December 2019

No description defined
Language Label Description Also known as
English
DLMF:13.4.E1
No description defined

    Statements

    𝐌 ( a , b , z ) = 1 Γ ( a ) Γ ( b - a ) 0 1 e z t t a - 1 ( 1 - t ) b - a - 1 d t , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 1 Euler-Gamma 𝑎 Euler-Gamma 𝑏 𝑎 superscript subscript 0 1 superscript 𝑒 𝑧 𝑡 superscript 𝑡 𝑎 1 superscript 1 𝑡 𝑏 𝑎 1 𝑡 {\displaystyle{\displaystyle{\mathbf{M}}\left(a,b,z\right)=\frac{1}{\Gamma% \left(a\right)\Gamma\left(b-a\right)}\int_{0}^{1}e^{zt}t^{a-1}(1-t)^{b-a-1}% \mathrm{d}t,}}
    0 references
    DLMF:13.4.E1
    0 references
    b > a > 0 𝑏 𝑎 0 {\displaystyle{\displaystyle\Re b>\Re a>0}}
    0 references