Dmytryshyn, M. V.; Cesarano, C.; Kondur, O.; Lutsiv, I.-A. On the Numerical Stability of the Branched Continued Fraction Expansion of the Ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;C,d+1;\mathbf{z})$. Mat. Stud. 2025, 64, 133-143.