q-Bessel polynomials

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.

The polynomials are given in terms of basic hypergeometric functions by [1]： Also known as alternative q-Charlier polynomials

( x ; a ; q ) .

are q-Pochhammer symbols.

QBessel function abs complex 3D Maple plot
QBessel function Im complex 3D Maple plot
QBessel function Re complex 3D Maple plot
QBessel function abs density Maple plot
QBessel function Im density Maple plot
QBessel function Re density Maple plot