https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:26657 1, and generic rational x and z, we establish the irrationality of the series [formula could not be replicated].It is a symmetric (ℓ_p(x,z)=ℓ_p(z,x)) generalization of the q-logarithmic function (x = 1 and p = 1/q where |q|<1), which in turn generalizes the q-harmonic series (x = z = 1). Our proof makes use of the Hankel determinants built on the Padé approximations to ℓ_p(x,z).]]> Wed 11 Apr 2018 15:04:15 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:44631 ∞_k=0 K! (—z)^k, we address arithmetic and analytical questions related to its values in both p-adic and Archimedean valuations.]]> Tue 18 Oct 2022 13:31:37 AEDT ]]>