Formula:6157

Digital Library of Mathematical Functions ID 17.12.E3

${\displaystyle{\displaystyle\beta_{n}=\sum_{j=0}^{n}\frac{\alpha_{j}}{\left(q;q\right)_{n-j}\left(aq;q\right)_{n+j}}.}}$

Symbols List

• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle\alpha_{n}}}$: part of Bailey pair
• ${\displaystyle{\displaystyle\beta_{n}}}$: part of Bailey pair
 

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