DLMF:13.3.E4 (Q4338)

From DRMF
Revision as of 15:41, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:13.3.E4
No description defined

    Statements

    Defining formula
    b ⁢ M ⁡ ( a , b , z ) - b ⁢ M ⁡ ( a - 1 , b , z ) - z ⁢ M ⁡ ( a , b + 1 , z ) = 0 , 𝑏 Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 𝑏 Kummer-confluent-hypergeometric-M 𝑎 1 𝑏 𝑧 𝑧 Kummer-confluent-hypergeometric-M 𝑎 𝑏 1 𝑧 0 {\displaystyle{\displaystyle bM\left(a,b,z\right)-bM\left(a-1,b,z\right)-zM% \left(a,b+1,z\right)=0,}}
    0 references
    DLMF id
    DLMF:13.3.E4
    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.m2acdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4338&oldid=60050"