Exceptions of Formulating the Normal-Regular Solutions of Confluent Hypergeometric Systems Obtained from the Lauricella System
Tasmambetov Z.N. Ubayeva Z.K.
August 2022Pleiades Publishing
Lobachevskii Journal of Mathematics
2022#43Issue 82309 - 2321 pp.
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 (FB). 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 (Formula presented.) function of many variables have been found out.
confluent , function , hypergeometric , normal-regular , passage to the limit , system , variables
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Aktobe Regional University named after K. Zhubanov, Aktobe, 030000, Kazakhstan
Aktobe Regional University named after K. Zhubanov
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