If you need the coefficients, you can obtain it in the page da NGA(National Geospatial -Intelligence Agency. Also, in the same web are the formulas to calculate the coefficients.
Very useful tool for using and analyzing most all GGMs and all functionals of potential You can find at ICGEM webpage. There are a lot of references too.
The evaluation of potential coefficients is a job for a team of specialists. If you are interested in combining an EGM with terrestrial data go read something about Stokes/Helmert's technique for the evaluation of a regional geoid.
can you help me to getting any Research specializes in combining an EGM with terrestrial data and Stokes/Helmert's technique for the evaluation of a regional geoid.
There are 258 (do not know the exact number) paper written about the Stokes/Helmert's technique. A good start might be "Ellmann, A. and P. Vaníček, 2006. UNB application of Stokes-Helmert's approach to geoid computation, Journal of Geodynamics 43 (2), pp. 200-213, doi:10.1016/ j.jog.2006.09.019."