DLMF:28.2.E11 (Q8154): 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
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: Q12271 / rank
 
Normal rank
Property / Symbols used: Q12271 / qualifier
 
Defining formula:

q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}

q=h^{2}
Property / Symbols used: Q12271 / qualifier
 
xml-id: C28.S1.XMD10.m1idec
Property / Symbols used
 
Property / Symbols used: Q12273 / rank
 
Normal rank
Property / Symbols used: Q12273 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12273 / qualifier
 
xml-id: C28.S1.XMD9.m1hdec
Property / Symbols used
 
Property / Symbols used: Q12274 / rank
 
Normal rank
Property / Symbols used: Q12274 / qualifier
 
Defining formula:

w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q12274 / qualifier
 
xml-id: C28.S2.XMD1.m1hdec
Property / Symbols used
 
Property / Symbols used: Q12276 / rank
 
Normal rank
Property / Symbols used: Q12276 / qualifier
 
Defining formula:

w I ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}}

w_{\mbox{\tiny I}}(z;a,q)
Property / Symbols used: Q12276 / qualifier
 
xml-id: C28.S2.XMD3.m1fdec

Latest revision as of 14:34, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:28.2.E11
No description defined

    Statements

    w I ( π ; a , q ) + 1 = 2 w I ( 1 2 π ; a , q ) w II ( 1 2 π ; a , q ) , subscript 𝑤 I 𝜋 𝑎 𝑞 1 2 subscript 𝑤 I 1 2 𝜋 𝑎 𝑞 subscript superscript 𝑤 II 1 2 𝜋 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(\pi;a,q)+1=2w_{\mbox{\tiny I}}% (\tfrac{1}{2}\pi;a,q)w^{\prime}_{\mbox{\tiny II}}(\tfrac{1}{2}\pi;a,q),}}
    0 references
    DLMF:28.2.E11
    0 references
    Warning: Falling back to standard tex;
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references
    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1idec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C28.S1.XMD9.m1hdec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1hdec
    0 references
    w I ( z ; a , q ) subscript 𝑤 I 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(z;a,q)}}
    C28.S2.XMD3.m1fdec
    0 references