DLMF:13.17.E1 (Q4564)

From DRMF
Revision as of 16:12, 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:13.17.E1
No description defined

    Statements

    Defining formula
    z ⁢ M κ , μ ⁡ ( z ) M κ - 1 2 , μ + 1 2 ⁡ ( z ) = 1 + u 1 ⁢ z 1 + u 2 ⁢ z 1 + ⋯ , 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 1 continued-fraction subscript 𝑢 1 𝑧 1 continued-fraction subscript 𝑢 2 𝑧 1 ⋯ {\displaystyle{\displaystyle\frac{\sqrt{z}M_{\kappa,\mu}\left(z\right)}{M_{% \kappa-\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)}=1+\cfrac{u_{1}z}{1+\cfrac{u% _{2}z}{1+\cdots}},}}
    0 references
    DLMF id
    DLMF:13.17.E1
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    Defining formula
    M κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E2.m2adec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4564&oldid=62953"