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DLMF:28.31.E16 - MaRDI portal

DLMF:28.31.E16 (Q9230)

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DLMF:28.31.E16
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    Statements

    DLMF defining formula
    β„Žπ‘ p m ⁒ ( z , ΞΎ ) = e - 1 4 ⁒ ΞΎ ⁒ cos ⁑ ( 2 ⁒ z ) ⁒ C p m ⁒ ( z , ΞΎ ) , superscript subscript β„Žπ‘ 𝑝 π‘š 𝑧 πœ‰ superscript 𝑒 1 4 πœ‰ 2 𝑧 superscript subscript 𝐢 𝑝 π‘š 𝑧 πœ‰ {\displaystyle{\displaystyle\mathit{hc}_{p}^{m}(z,\xi)=e^{-\frac{1}{4}\xi\cos% \left(2z\right)}C_{p}^{m}(z,\xi),}}
    0 references
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁑ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aedec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    integer
    DLMF defining formula
    m π‘š {\displaystyle{\displaystyle m}}
    xml-id
    C28.S1.XMD1.m1fdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1gdec
    0 references
    Ince polynomials (locally)
    DLMF defining formula
    C p m ⁒ ( z , ΞΎ ) superscript subscript 𝐢 𝑝 π‘š 𝑧 πœ‰ {\displaystyle{\displaystyle C_{p}^{m}(z,\xi)}}
    xml-id
    C28.S31.XMD6.m1ddec
    0 references

    Identifiers

     
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