Formula:KLS:14.22:21

<< Formula:KLS:14.22:20

formula in q-Bessel

Formula:KLS:14.22:22 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{a\rightarrow 0}p_{n}\!\left(x;a,-a^{-1}q^{-1}b;q\right)=y_{n}\!\left(x;b;q\right)}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

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

Bibliography

Equation in Section 14.22 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:14.22:20

formula in q-Bessel

Formula:KLS:14.22:22 >>