We obtain the analytic continuation of multiple Hurwitz zeta functions by using a simple and elementary translation formula. We also locate the polar hyperplanes for these functions and express the residues, along these hyperplanes, as coefficients of certain infinite matrices.
"Analytic continuation of multiple Hurwitz zeta functions." J. Math. Soc. Japan 69 (4) 1431 - 1442, October, 2017. https://doi.org/10.2969/jmsj/06941431