Exceptions of Formulating the Normal-Regular Solutions of Confluent Hypergeometric Systems Obtained from the Lauricella System

Zh. N. Tasmambetov, Zh. K. Ubayeva

2022

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DOI 10.1134/s1995080222110294
Data confidence 70 medium
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Abstract

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.