Geodesic
On the existence and uniqueness of type i Hermite--Pad\'e polynomials
Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 100-103.

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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.
Keywords: Hermite–Padé polynomials, normal index, perfect system, Hankel determinant.
Mots-clés : Hadamard determinant 
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A. P. Starovoitov; N. V. Ryabchenko; A. A. Drapeza. On the existence and uniqueness of type i Hermite--Pad\'e polynomials. Problemy fiziki, matematiki i tehniki, no. 3 (2019), pp. 100-103. http://geodesic.mathdoc.fr/item/PFMT_2019_3_a16/

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