DLMF:13.10.E1 (Q4460): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
 
imported>Admin
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Olver’s confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier
 
test:

𝐌 ( a , b , z ) Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}

\OlverconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec
Property / Symbols used
 
Property / Symbols used: Q11557 / rank
 
Normal rank
Property / Symbols used: Q11557 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11557 / qualifier
 
xml-id: C13.S1.XMD6.m1dec

Latest revision as of 15:00, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:13.10.E1
No description defined

    Statements

    𝐌 ( a , b , z ) d z = 1 a - 1 𝐌 ( a - 1 , b - 1 , z ) , Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 𝑧 1 𝑎 1 Kummer-confluent-hypergeometric-bold-M 𝑎 1 𝑏 1 𝑧 {\displaystyle{\displaystyle\int{\mathbf{M}}\left(a,b,z\right)\mathrm{d}z=% \frac{1}{a-1}{\mathbf{M}}\left(a-1,b-1,z\right),}}
    0 references
    0 references
    𝐌 ( a , b , z ) Kummer-confluent-hypergeometric-bold-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}
    C13.S2.E3.m2adec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C13.S1.XMD6.m1dec
    0 references