Some asymptotic formulas exhibiting the behaviors of the triple hypergeometric series F_S and F_T near the boundaries of their convergence regions.

Saigo, MegumiSrivastava, H.M.2010-04-012010-04-0119902010-04-01http://hdl.handle.net/1828/2427Originally published August 1989 ; revised April 1990The authors prove a number of asymptotic formulas which depict the behaviors of the triple hypergeometric series F_S and F_T near the boundaries of their regions of convergence. Results of this type are potentially useful in several seemingly diverse areas of applications utilizing these classes of multiple hypergeometric functions. Some indication of applicability is also provided.entechnical reports (mathematics and statistics)Some asymptotic formulas exhibiting the behaviors of the triple hypergeometric series F_S and F_T near the boundaries of their convergence regions.Technical ReportDepartment of Mathematics and Statistics