Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

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 ...

Proceedings of the American Mathematical Society, Vol. 25, No. 2 (Jun., 1970), pp. 405-412 (8 pages) A new class of generating functions for generalized hypergeometric polynomials is obtained.

Special functions have many remarkable properties that make them useful in various fields such as combinatory, astronomy, applied mathematics, physics, and engineering. This volume presents 15 ...