DLMF:16.11.E1 (Q5233): Difference between revisions

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Property / constraint
 

p < q + 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p<q+1}}

p<q+1
Property / constraint: p < q + 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p<q+1}} / 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
 
test:

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.m2adec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2adec
Property / Symbols used
 
Property / Symbols used: Q11690 / rank
 
Normal rank
Property / Symbols used: Q11690 / qualifier
 
test:

p 𝑝 {\displaystyle{\displaystyle p}}

p
Property / Symbols used: Q11690 / qualifier
 
xml-id: C16.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11691 / rank
 
Normal rank
Property / Symbols used: Q11691 / qualifier
 
test:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11691 / qualifier
 
xml-id: C16.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q11692 / rank
 
Normal rank
Property / Symbols used: Q11692 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11692 / qualifier
 
xml-id: C16.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11706 / rank
 
Normal rank
Property / Symbols used: Q11706 / qualifier
 
test:

Îș 𝜅 {\displaystyle{\displaystyle\kappa}}

\kappa
Property / Symbols used: Q11706 / qualifier
 
xml-id: C16.S11.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11707 / rank
 
Normal rank
Property / Symbols used: Q11707 / qualifier
 
test:

Îœ 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11707 / qualifier
 
xml-id: C16.S11.XMD4.m1dec

Latest revision as of 13:37, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:16.11.E1
No description defined

    Statements

    test
    E p , q ⁹ ( z ) = ( 2 ⁹ π ) ( p - q ) / 2 ⁹ Îș - Îœ - ( 1 / 2 ) ⁹ e Îș ⁹ z 1 / Îș ⁹ ∑ k = 0 ∞ c k ⁹ ( Îș ⁹ z 1 / Îș ) Îœ - k , subscript 𝐾 𝑝 𝑞 𝑧 superscript 2 𝜋 𝑝 𝑞 2 superscript 𝜅 𝜈 1 2 𝜅 superscript 𝑧 1 𝜅 superscript subscript 𝑘 0 subscript 𝑐 𝑘 superscript 𝜅 superscript 𝑧 1 𝜅 𝜈 𝑘 {\displaystyle{\displaystyle E_{p,q}(z)=(2\pi)^{\ifrac{(p-q)}{2}}\kappa^{-\nu-% (\ifrac{1}{2})}{\mathrm{e}^{\kappa z^{\ifrac{1}{\kappa}}}}\sum_{k=0}^{\infty}c% _{k}\left(\kappa z^{\ifrac{1}{\kappa}}\right)^{\nu-k},}}
    0 references
    DLMF id
    DLMF:16.11.E1
    0 references
    constraint
    p < q + 1 𝑝 𝑞 1 {\displaystyle{\displaystyle p<q+1}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    Q11690
    test
    p 𝑝 {\displaystyle{\displaystyle p}}
    xml-id
    C16.S1.XMD1.m1dec
    0 references
    Q11691
    test
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C16.S1.XMD2.m1dec
    0 references
    Q11692
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C16.S1.XMD3.m1dec
    0 references
    Q11706
    test
    Îș 𝜅 {\displaystyle{\displaystyle\kappa}}
    xml-id
    C16.S11.XMD3.m1dec
    0 references
    Q11707
    test
    Îœ 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C16.S11.XMD4.m1dec
    0 references
     
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