In this note we show that if the areal mean-value theorem holds for a plane domain (subject to a mild regularity condition) for all integrable harmonic functions, then the domain must be a disk. It is ...

https://doi.org/10.4169/amer.math.monthly.124.6.535 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.6.535 We investigate functions with the property that ...

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 ...