Geodesic
On the existence and uniqueness of type II Hermite--Pad\'e polynomials
Problemy fiziki, matematiki i tehniki, no. 2 (2019), pp. 92-96.

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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 II 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; D. A. Volkov. On the existence and uniqueness of type II Hermite--Pad\'e polynomials. Problemy fiziki, matematiki i tehniki, no. 2 (2019), pp. 92-96. http://geodesic.mathdoc.fr/item/PFMT_2019_2_a13/

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