Аңдатпа
Exceptions of formulating the normal-regular solutions of confluent hypergeometric systems, obtained by passage to the limit from the Lauricella system have been studied $$(F_{B})$$ . A series of theorems regarding the existence of normal-regular solutions to many variables and their connection with the confluent function, introduced by Khudozhnikov have been proved. The connection between the Khudozhnikov’s new function and the Humbert’s $$\Xi_{1}^{(n)}$$ function of many variables have been found out.