On the existence and uniqueness of type i Hermite–Padé polynomials
A. P. Starovoitov, N. V. Ryabchenko, A. A. Drapeza
F. Scorina Gomel State University
New concepts are introduced in the work. They are quite normal index and a quite perfect system of functions. Using these concepts, a uniqueness criterion was formulated and proved, explicit determinant representations of type I Hermite–Padé polynomials for an arbitrary system of power series were obtained. The results obtained complement and generalize the well-known result in the theory of Hermite–Padé approximations.
Hermite–Padé polynomials, normal index, perfect system, Hadamard determinant, Hankel determinant.
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A. P. Starovoitov, N. V. Ryabchenko, A. A. Drapeza, “On the existence and uniqueness of type i Hermite–Padé polynomials”, PFMT, 2019, no. 3(40), 100–103
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\by A.~P.~Starovoitov, N.~V.~Ryabchenko, A.~A.~Drapeza
\paper On the existence and uniqueness of type i Hermite--Pad\'e polynomials
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