DLMF:7.10.E3 (Q2400): 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 / constraint
 

n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}

n=0,1,2,\dots
Property / constraint: n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Faddeeva (or Faddeyeva) function / rank
 
Normal rank
Property / Symbols used: Faddeeva (or Faddeyeva) function / qualifier
 
test:

w ( z ) error-function-w 𝑧 {\displaystyle{\displaystyle w\left(\NVar{z}\right)}}

\Faddeevaw@{\NVar{z}}
Property / Symbols used: Faddeeva (or Faddeyeva) function / qualifier
 
xml-id: C7.S2.E3.m2aadec
Property / Symbols used
 
Property / Symbols used: Q11312 / rank
 
Normal rank
Property / Symbols used: Q11312 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11312 / qualifier
 
xml-id: C7.S1.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11314 / rank
 
Normal rank
Property / Symbols used: Q11314 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11314 / qualifier
 
xml-id: C7.S1.XMD3.m1adec

Latest revision as of 00:48, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:7.10.E3
No description defined

    Statements

    w ( n + 2 ) ( z ) + 2 z w ( n + 1 ) ( z ) + 2 ( n + 1 ) w ( n ) ( z ) = 0 , error-function-w 𝑛 2 𝑧 2 𝑧 error-function-w 𝑛 1 𝑧 2 𝑛 1 error-function-w 𝑛 𝑧 0 {\displaystyle{\displaystyle{{w^{(n+2)}}\left(z\right)+2z{w^{(n+1)}}\left(z% \right)+2(n+1){w^{(n)}}\left(z\right)=0},}}
    0 references
    0 references
    n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}
    0 references
    w ( z ) error-function-w 𝑧 {\displaystyle{\displaystyle w\left(\NVar{z}\right)}}
    C7.S2.E3.m2aadec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C7.S1.XMD2.m1bdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C7.S1.XMD3.m1adec
    0 references