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Formula:6159

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Digital Library of Mathematical Functions ID 17.12#Ex3

( a ⁢ q ρ 1 , a ⁢ q ρ 2 ; q ) n ⁢ α n ′ = ( ρ 1 , ρ 2 ; q ) n ⁢ ( a ⁢ q ρ 1 ⁢ ρ 2 ) n ⁢ α n q-multiple-Pochhammer 𝑎 𝑞 subscript 𝜌 1 𝑎 𝑞 subscript 𝜌 2 𝑞 𝑛 superscript subscript 𝛼 𝑛 ′ q-multiple-Pochhammer subscript 𝜌 1 subscript 𝜌 2 𝑞 𝑛 superscript 𝑎 𝑞 subscript 𝜌 1 subscript 𝜌 2 𝑛 subscript 𝛼 𝑛 {\displaystyle{\displaystyle\left(\frac{aq}{\rho_{1}},\frac{aq}{\rho_{2}};q% \right)_{n}\alpha_{n}^{\prime}=\left(\rho_{1},\rho_{2};q\right)_{n}\left(\frac% {aq}{\rho_{1}\rho_{2}}\right)^{n}\alpha_{n}}}


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