“…Our expressions also provide an alternate way to find the AEs for some HGFs with non-integer parameters that have previously appeared in physics. Examples of such HGFs are F n/2+s + ,n/2+s − n+1 ; x , with s ± = b ± 1 + (a 2 − 1)n 2 /[2(a − 1)], for real a, b, x and n → ∞ in [1]; F (n+is)/2,(n−is)/2 n+1 ; c n 2/3 − b 2 a 2 , with s = √ a 2 n 2 − 1/b for real a, b, c and n → ∞ in [28]; F n−n,n+1 m+1 ; 1−z 2 and F (n−m)/2+1,(n−m+1)/2 n+3/2 ; 1 z 2 for z complex, n, m → ∞ and m/(n + 1/2) constant in [27]; F −an,−bn 1−an ; −x for real a, b, x and n → ∞ in [21]; and F a,b c+1 ; − z 4ab for complex z and |a|, |b| → ∞, in [7,46]. All of these can be mapped to the cases evaluated here by substitutions for the parameters and/or the variable.…”