Aufsatz(elektronisch)#17. Januar 2020
Uniqueness of the solutions of the Hermite – Pade problems
In: Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, Band 55, Heft 4, S. 445-456
ISSN: 2524-2415
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.