DLMF:18.29.E1 (Q5996)

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DLMF:18.29.E1
No description defined

    Statements

    Defining formula
    ( b ⁢ c , b ⁢ d , c ⁢ d ; q ) n ⁢ ( Q n ⁢ ( e i ⁢ θ ; a , b , c , d ∣ q ) + Q n ⁢ ( e - i ⁢ θ ; a , b , c , d ∣ q ) ) , q-multiple-Pochhammer 𝑏 𝑐 𝑏 𝑑 𝑐 𝑑 𝑞 𝑛 subscript 𝑄 𝑛 superscript 𝑒 imaginary-unit 𝜃 𝑎 𝑏 𝑐 conditional 𝑑 𝑞 subscript 𝑄 𝑛 superscript 𝑒 imaginary-unit 𝜃 𝑎 𝑏 𝑐 conditional 𝑑 𝑞 {\displaystyle{\displaystyle\left(bc,bd,cd;q\right)_{n}\*\left(Q_{n}(e^{% \mathrm{i}\theta};a,b,c,d\mid q)+Q_{n}(e^{-\mathrm{i}\theta};a,b,c,d\mid q)% \right),}}
    0 references
    DLMF id
    DLMF:18.29.E1
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q11713
    Defining formula
    ( a 1 , a 2 , … , a r ; q ) n q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}
    xml-id
    C17.S2.SS1.p1.m6adec
    0 references
    Q11728
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1dec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
    0 references
     
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