Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...

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

The connection between functions of hypergeometric type and representations of certain Lie algebras is exploited by classifying the irreducible representations of the corresponding local Lie groups.