DLMF:11.10.E35 (Q4057): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Weber function / rank
 
Normal rank
Property / Symbols used: Weber function / qualifier
 
Defining formula:

𝐄 ν ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\WeberE{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Weber function / qualifier
 
xml-id: C11.S10.E2.m2atdec
Property / Symbols used
 
Property / Symbols used: Q11491 / rank
 
Normal rank
Property / Symbols used: Q11491 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11491 / qualifier
 
xml-id: C11.S1.XMD2.m1afdec
Property / Symbols used
 
Property / Symbols used: Q11492 / rank
 
Normal rank
Property / Symbols used: Q11492 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11492 / qualifier
 
xml-id: C11.S1.XMD3.m1addec

Latest revision as of 14:59, 2 January 2020

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DLMF:11.10.E35
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    Statements

    2 𝐄 ν ( z ) = 𝐄 ν - 1 ( z ) - 𝐄 ν + 1 ( z ) , 2 diffop Weber-E 𝜈 1 𝑧 Weber-E 𝜈 1 𝑧 Weber-E 𝜈 1 𝑧 {\displaystyle{\displaystyle 2\mathbf{E}_{\nu}'\left(z\right)=\mathbf{E}_{\nu-% 1}\left(z\right)-\mathbf{E}_{\nu+1}\left(z\right),}}
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    DLMF:11.10.E35
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    𝐄 ν ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C11.S10.E2.m2atdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C11.S1.XMD2.m1afdec
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    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C11.S1.XMD3.m1addec
    0 references