DLMF:15.4.E9 (Q4993): Difference between revisions

From DRMF
Jump to navigation Jump to search
Newer edit →
‎Created a new Item: Wikidata Toolkit example test item creation
(No difference)

Revision as of 15:45, 29 December 2019

No description defined
Language Label Description Also known as
English
DLMF:15.4.E9
No description defined

    Statements

    Defining formula
    F ⁡ ( a , 1 2 + a ; 3 2 ; z 2 ) = 1 ( 2 - 4 ⁢ a ) ⁢ z ⁢ ( ( 1 + z ) 1 - 2 ⁢ a - ( 1 - z ) 1 - 2 ⁢ a ) , Gauss-hypergeometric-F 𝑎 1 2 𝑎 3 2 superscript 𝑧 2 1 2 4 𝑎 𝑧 superscript 1 𝑧 1 2 𝑎 superscript 1 𝑧 1 2 𝑎 {\displaystyle{\displaystyle F\left(a,\tfrac{1}{2}+a;\tfrac{3}{2};z^{2}\right)% =\frac{1}{(2-4a)z}\left((1+z)^{1-2a}-(1-z)^{1-2a}\right),}}
    0 references
    DLMF id
    DLMF:15.4.E9
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4993&oldid=10992"