DLMF:8.12.E13 (Q2610): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
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: Q11329 / rank
 
Normal rank
Property / Symbols used: Q11329 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11329 / qualifier
 
xml-id: C8.S1.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11348 / rank
 
Normal rank
Property / Symbols used: Q11348 / qualifier
 
Defining formula:

η ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}}

\eta(\lambda)
Property / Symbols used: Q11348 / qualifier
 
xml-id: C8.S12.XMD1.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11355 / rank
 
Normal rank
Property / Symbols used: Q11355 / qualifier
 
Defining formula:

λ 𝜆 {\displaystyle{\displaystyle\lambda}}

\lambda
Property / Symbols used: Q11355 / qualifier
 
xml-id: C8.S12.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11356 / rank
 
Normal rank
Property / Symbols used: Q11356 / qualifier
 
Defining formula:

α n + 2 subscript 𝛼 𝑛 2 {\displaystyle{\displaystyle\alpha_{n+2}}}

\alpha_{n+2}
Property / Symbols used: Q11356 / qualifier
 
xml-id: C8.S12.XMD9.m1adec

Latest revision as of 13:58, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:8.12.E13
No description defined

    Statements

    λ - 1 = η + 1 3 η 2 + n = 3 α n η n , 𝜆 1 𝜂 1 3 superscript 𝜂 2 superscript subscript 𝑛 3 subscript 𝛼 𝑛 superscript 𝜂 𝑛 {\displaystyle{\displaystyle\lambda-1=\eta+\tfrac{1}{3}\eta^{2}+\sum_{n=3}^{% \infty}\alpha_{n}\eta^{n},}}
    0 references
    DLMF:8.12.E13
    0 references
    Warning: Falling back to standard tex;
    0 references
    | η | < 2 π 𝜂 2 𝜋 {\displaystyle{\displaystyle|\eta|<2\sqrt{\pi}}}
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C8.S1.XMD6.m1bdec
    0 references
    η ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}}
    C8.S12.XMD1.m1kdec
    0 references
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    C8.S12.XMD2.m1bdec
    0 references
    α n + 2 subscript 𝛼 𝑛 2 {\displaystyle{\displaystyle\alpha_{n+2}}}
    C8.S12.XMD9.m1adec
    0 references