The objective of this paper is to present a simple framework for the derivation and analysis of orthogonal IIR transfer functions, which are directly related to orthogonal rational functions.

A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with basic hypergeometric or q-hypergeometric functions is considered.

Its “characters”, the orthogonal functions, the spherical Bessel functions, the Legendre polynomials, and so on, behave in such a variety of ways they make even the Sopranos look like wooden ...

Orthogonal moments have emerged as robust mathematical descriptors in image analysis and pattern recognition, offering a compact and invariant representation of image features.