DLMF:18.27.E14 (Q5965)

From testwiki
Revision as of 17:03, 30 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.27.E14
No description defined

    Statements

    test
    ∑ y = 0 ∞ p n ⁢ ( q y ) ⁢ p m ⁢ ( q y ) ⁢ ( b ⁢ q ; q ) y ⁢ ( a ⁢ q ) y ( q ; q ) y = h n ⁢ δ n , m , superscript subscript 𝑦 0 subscript 𝑝 𝑛 superscript 𝑞 𝑦 subscript 𝑝 𝑚 superscript 𝑞 𝑦 q-Pochhammer-symbol 𝑏 𝑞 𝑞 𝑦 superscript 𝑎 𝑞 𝑦 q-Pochhammer-symbol 𝑞 𝑞 𝑦 subscript ℎ 𝑛 Kronecker 𝑛 𝑚 {\displaystyle{\displaystyle\sum_{y=0}^{\infty}p_{n}(q^{y})p_{m}(q^{y})\frac{% \left(bq;q\right)_{y}(aq)^{y}}{\left(q;q\right)_{y}}=h_{n}\delta_{n,m},}}
    0 references
    DLMF id
    DLMF:18.27.E14
    0 references
    constraint
    0 < a < q - 1 , b < q - 1 formulae-sequence 0 𝑎 superscript 𝑞 1 𝑏 superscript 𝑞 1 {\displaystyle{\displaystyle 0<a<q^{-1},b<q^{-1}}}
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q5965&oldid=34387"