DLMF:13.3.E1 (Q4335)

From DRMF
Revision as of 15:41, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:13.3.E1
No description defined

    Statements

    Defining formula
    ( b - a ) ⁢ M ⁡ ( a - 1 , b , z ) + ( 2 ⁢ a - b + z ) ⁢ M ⁡ ( a , b , z ) - a ⁢ M ⁡ ( a + 1 , b , z ) = 0 , 𝑏 𝑎 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 2 𝑎 𝑏 𝑧 Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 𝑎 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 0 {\displaystyle{\displaystyle(b-a)M\left(a-1,b,z\right)+(2a-b+z)M\left(a,b,z% \right)-aM\left(a+1,b,z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.3.E1
    0 references
    Symbols used
    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    Defining formula
    M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E2.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4335&oldid=60020"