DLMF:12.4.E3 (Q4111): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1bdec

Latest revision as of 15:07, 2 January 2020

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English
DLMF:12.4.E3
No description defined

    Statements

    Defining formula
    u 1 ⁢ ( a , z ) = e - 1 4 ⁢ z 2 ⁢ ( 1 + ( a + 1 2 ) ⁢ z 2 2 ! + ( a + 1 2 ) ⁢ ( a + 5 2 ) ⁢ z 4 4 ! + ⋯ ) , subscript 𝑢 1 𝑎 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 1 𝑎 1 2 superscript 𝑧 2 2 𝑎 1 2 𝑎 5 2 superscript 𝑧 4 4 ⋯ {\displaystyle{\displaystyle u_{1}(a,z)=e^{-\tfrac{1}{4}z^{2}}\left(1+(a+% \tfrac{1}{2})\frac{z^{2}}{2!}+(a+\tfrac{1}{2})(a+\tfrac{5}{2})\frac{z^{4}}{4!}% +\cdots\right),}}
    0 references
    DLMF id
    DLMF:12.4.E3
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q11513
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1bdec
    0 references
    Q11516
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1bdec
    0 references
     
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