DLMF:13.15.E3 (Q4528)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:13.15.E3
No description defined

    Statements

    Defining formula
    ( κ - μ - 1 2 ) ⁢ M κ - 1 2 , μ + 1 2 ⁡ ( z ) + ( 1 + 2 ⁢ μ ) ⁢ z ⁢ M κ , μ ⁡ ( z ) - ( κ + μ + 1 2 ) ⁢ M κ + 1 2 , μ + 1 2 ⁡ ( z ) = 0 , 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 1 2 𝜇 𝑧 Whittaker-confluent-hypergeometric-M 𝜅 𝜇 𝑧 𝜅 𝜇 1 2 Whittaker-confluent-hypergeometric-M 𝜅 1 2 𝜇 1 2 𝑧 0 {\displaystyle{\displaystyle(\kappa-\mu-\tfrac{1}{2})M_{\kappa-\frac{1}{2},\mu% +\frac{1}{2}}\left(z\right)+(1+2\mu)\sqrt{z}M_{\kappa,\mu}\left(z\right)-(% \kappa+\mu+\tfrac{1}{2})M_{\kappa+\frac{1}{2},\mu+\frac{1}{2}}\left(z\right)=0% ,}}
    0 references
    DLMF id
    DLMF:13.15.E3
    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.m2abdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1bdec
    0 references
    Q11557
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C13.S1.XMD6.m1bdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4528&oldid=62716"