In mathematics, the "q"-Bessel polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. Roelof Koekoek, Peter A. Lesky, and René F. Swarttouw (2010, 14) give a detailed list of their properties.
Definition.
The polynomials are given in terms of basic hypergeometric functions by ：
formula_1
 ;br ;Also known as alternative q-Charlier polynomials formula_2
formula_3
Orthogonality.
where formula_4 are q-Pochhammer symbols.
References.
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