DLMF:8.12.E11 (Q2607): Difference between revisions

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Property / constraint
 

| η | < 2 ⁢ π 𝜂 2 𝜋 {\displaystyle{\displaystyle|\eta|<2\sqrt{\pi}}}

|\eta|<2\sqrt{\pi}
Property / constraint: | η | < 2 ⁢ π 𝜂 2 𝜋 {\displaystyle{\displaystyle|\eta|<2\sqrt{\pi}}} / rank
 
Normal rank
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.m2addec
Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1cdec
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.m1dec
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.m1jdec
Property / Symbols used
 
Property / Symbols used: Q11354 / rank
 
Normal rank
Property / Symbols used: Q11354 / qualifier
 
Defining formula:

d ⁢ ( ± χ ) 𝑑 plus-or-minus 𝜒 {\displaystyle{\displaystyle d(\pm\chi)}}

d(\pm\chi)
Property / Symbols used: Q11354 / qualifier
 
xml-id: C8.S12.XMD11.m1dec
Property / Symbols used
 
Property / Symbols used: Q11351 / rank
 
Normal rank
Property / Symbols used: Q11351 / qualifier
 
Defining formula:

c k ⁢ ( η ) subscript 𝑐 𝑘 𝜂 {\displaystyle{\displaystyle c_{k}(\eta)}}

c_{k}(\eta)
Property / Symbols used: Q11351 / qualifier
 
xml-id: C8.S12.XMD6.m1ddec

Latest revision as of 13:58, 2 January 2020

No description defined
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English
DLMF:8.12.E11
No description defined

    Statements

    Defining formula
    c k ⁢ ( η ) = ∑ n = 0 ∞ d k , n ⁢ η n , subscript 𝑐 𝑘 𝜂 superscript subscript 𝑛 0 subscript 𝑑 𝑘 𝑛 superscript 𝜂 𝑛 {\displaystyle{\displaystyle c_{k}(\eta)=\sum_{n=0}^{\infty}d_{k,n}\eta^{n},}}
    0 references
    DLMF id
    DLMF:8.12.E11
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    | η | < 2 ⁢ π 𝜂 2 𝜋 {\displaystyle{\displaystyle|\eta|<2\sqrt{\pi}}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    Q11330
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1cdec
    0 references
    Q11329
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1dec
    0 references
    Q11348
    Defining formula
    η ⁢ ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}}
    xml-id
    C8.S12.XMD1.m1jdec
    0 references
    Q11354
    Defining formula
    d ⁢ ( ± χ ) 𝑑 plus-or-minus 𝜒 {\displaystyle{\displaystyle d(\pm\chi)}}
    xml-id
    C8.S12.XMD11.m1dec
    0 references
    Q11351
    Defining formula
    c k ⁢ ( η ) subscript 𝑐 𝑘 𝜂 {\displaystyle{\displaystyle c_{k}(\eta)}}
    xml-id
    C8.S12.XMD6.m1ddec
    0 references
     
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