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 ...

The main purpose of this paper is to present closed integral form expressions for the Mathieu-type a-series and for the associated alternating versions whose terms contain a generalized p–extended ...

Let p be prime and let GF(p) be the finite field with p elements. In this note we investigate the arithmetic properties of the Gaussian hypergeometric functions ...

The Gaussian Q-function is a fundamental statistical tool that plays a pivotal role in the analytical assessment of error probabilities within communication systems ...