Q-Bessel polynomials
In mathematics, the q-Bessel polynomials  are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties. Definition

The  polynomials are given in terms of basic hypergeometric functions by ：

Also known as alternative q-Charlier polynomials

Orthogonality

where  are q-Pochhammer symbols. Gallery

References

Orthogonal polynomials
Q-analogs
Special hypergeometric functions