Abstract
Weisner’s [McBride, E.B., 1971, Obtaining Generating Functions (New york: Springer-Verlag).] group theoretic method is utilized to obtain new generating relations for Hermite matrix functions T n (x, A) studied by Jodar and Defez by giving suitable interpretations to the index (n). A few special cases of interest are also discussed, which would inevitably yield many new and known results of theory of special functions.