DLMF:30.16.E3 (Q8963)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:30.16.E3
No description defined

    Statements

    Defining formula
    λ n m ⁡ ( γ 2 ) = lim d → ∞ ⁡ α p , d , spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 subscript → 𝑑 subscript 𝛼 𝑝 𝑑 {\displaystyle{\displaystyle\lambda^{m}_{n}\left(\gamma^{2}\right)=\lim_{d\to% \infty}\alpha_{p,d},}}
    0 references
    DLMF id
    DLMF:30.16.E3
    0 references
    constraint
    p = ⌊ 1 2 ⁢ ( n - m ) ⌋ + 1 𝑝 1 2 𝑛 𝑚 1 {\displaystyle{\displaystyle p=\left\lfloor\frac{1}{2}(n-m)\right\rfloor+1}}
    0 references
    Symbols used
    Q11169
    Defining formula
    ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
    xml-id
    introduction.Sx4.p1.t1.r17.m4adec
    0 references
    Q12407
    Defining formula
    λ n m ⁡ ( γ 2 ) spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 {\displaystyle{\displaystyle\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2% }}\right)}}
    xml-id
    C30.S3.SS1.p1.m2adec
    0 references
    Q12408
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1adec
    0 references
    Q12409
    Defining formula
    n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    xml-id
    C30.S1.XMD5.m1dec
    0 references
    Q12455
    Defining formula
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C30.S16.XMD1.m1adec
    0 references
    Q12456
    Defining formula
    α j , k subscript 𝛼 𝑗 𝑘 {\displaystyle{\displaystyle\alpha_{j,k}}}
    xml-id
    C30.S16.XMD4.m1adec
    0 references
    Q12404
    Defining formula
    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    xml-id
    C30.S2.XMD3.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8963&oldid=36221"