Formula:KLS:14.22:14

<< Formula:KLS:14.22:13

formula in q-Bessel

Formula:KLS:14.22:15 >>

${\displaystyle{\displaystyle{\displaystyle aq^{x-1}y_{n}\!\left(q^{x};a;q\right)-(1-q^{x})y_{n}\!\left(q^{x-1}x;a;q\right)=-y_{n+1}\!\left(q^{x};aq^{-2};q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle y_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Bessel polynomial : http://drmf.wmflabs.org/wiki/Definition:qBessel

Bibliography

Equation in Section 14.22 of KLS.

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<< Formula:KLS:14.22:13

formula in q-Bessel

Formula:KLS:14.22:15 >>