DLMF:12.4.E5 (Q4113): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5abdec

Revision as of 15:08, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:12.4.E5
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.E5
    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.m2abdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4113&oldid=54597"