Construction of Solutions Hypergeometric System of Horn Type in the Form of Laguerre Polynomials
Issenova A.A. Tasmambetov Z.N. Talipova M.Z.
November 2022Pleiades Publishing
Lobachevskii Journal of Mathematics
2022#43Issue 113167 - 3173 pp.
Abstract: A special hypergeometric system of Horn type differential equations is studied. The solutions of this system are confluent hypergeometric Humbert functions and orthogonal Laguerre polynomials of many variables. The connections between the Laguerre system with admissible equations are shown. For constructing solutions to the system of Horn type is used modified method of Frobenius–Latysheva.
antirank , Horn system , Humbert series , hypergeometric function , Laguerre series , rank
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Zhubanov Aqtobe Regional University, Aqtobe, 030000, Kazakhstan
Zhubanov Aqtobe Regional University
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