Uniqueness of the solutions of the Hermite – Pade problems
https://doi.org/10.29235/1561-2430-2019-55-4-445-456
Abstract
New concepts are introduced in the present work. They are a quite normal index and a quite perfect system of functions. Using these concepts, the uniqueness criterion for solution of two Hermite – Pade problems is proved, the explicit determinant representations of type I and II Hermite – Padé polynomials for an arbitrary system of power series are obtained. The results obtained complement and generalize the well-known result in the theory of Hermite – Padé approximations.
About the Authors
A. P. Staravoitov
Francisk Scorina Gomel State University
Russian Federation
Russian Federation
Aleksandr P. Staravoitov – Dr. Sc. (Physics and Mathematics), Professor.
104, Sovetskaya Str., 246019, Gomel
N. V. Ryabchenko
Francisk Scorina Gomel State University
Russian Federation
Russian Federation
Nataliya V. Ryabchenko – Senior Lecturer.
104, Sovetskaya Str., 246019, Gomel
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