Formula:KLS:14.22:12

<< Formula:KLS:14.22:10

formula in q-Bessel

Formula:KLS:14.22:13 >>

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

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:14.22:10

formula in q-Bessel

Formula:KLS:14.22:13 >>