A Remark on Holomorphic Functions Rational in Some Variables

Considering the holomorphic functions in a polycylindrical domain which are rational in some of the variables for the arbitrary fixed values of other variables, we prove that the functions are representable as a ratio of polynomials in these variables whose coefficients are holomorphic in the remain...

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Bibliographic Details

Published in:	Siberian mathematical journal Vol. 65; no. 5; pp. 1112 - 1115
Main Authors:	Ivanova, O. A., Melikhov, S. N.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.09.2024 Springer Nature B.V
Subjects:	Analytic functions Complex variables Conflicts of interest Hankel matrices Mathematics Mathematics and Statistics Polynomials Rationality Variables Hankel matrix rational function holomorphic function 517.553
ISSN:	0037-4466, 1573-9260
Online Access:	Get full text
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