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Approximation by Meromorphic Functions with Mittag-Leffler Type Constraints

Published online by Cambridge University Press:  20 November 2018

P. M. Gauthier  and
M. R. Pouryayevali
P. M. Gauthier
Affiliation:
Département de mathématiques et de statistique Université de Montréal CP 6128 Centre Ville Montréal, Québec H3C 3J7, email: gauthier@dms.umontreal.ca
M. R. Pouryayevali
Affiliation:
Département de mathématiques et de statistique Université de Montréal CP 6128 Centre Ville Montréal, Québec H3C 3J7, email: gauthier@dms.umontreal.ca
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Abstract

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Functions defined on closed sets are simultaneously approximated and interpolated by meromorphic functions with prescribed poles and zeros outside the set of approximation.

Keywords

30D3030E1030E15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 4 , 01 December 2001 , pp. 420 - 428
Copyright
Copyright © Canadian Mathematical Society 2001

References

[1] Arakeljan, N. U., [Arakelian, N.U.], Approximation complexe et propriétés des fonctions analytiques. Actes Congrès Inter.Math. Tome 2 (1970), 595–600.Google Scholar
[2] Fuchs, W. H. J., Théorie de l’approximation des fonctions d’une variable complexe. Séminaire de Mathématiques supérieures 26, Les Presses de l’Université de Montréal, 1968.Google Scholar
[3] Gauthier, P. M., Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds. Canad. J. Math. 50 (1998), 547–562.Google Scholar
[4] Gauthier, P. M. and Hengartner, W., Complex approximation and simultaneous interpolation on closed sets. Canad. J. Math. 29 (1977), 701–706.Google Scholar
[5] Hille, E., Analytic Function Theory. Vol. II, Ginn and Company, 1962.Google Scholar
[6] Hörmander, L., An Introduction to Complex Analysis in Several Variables. North Holland, 1990.Google Scholar
[7] Nersesjan, A. A., [Nersessian, A. H.], Uniform and tangential approximation by meromorphic functions. Izv. Akad. Nauk Armyan. SSR Ser.Mat. 7 (1972), 405–412.Google Scholar
[8] Roth, A., Uniform and tangential approximations by meromorphic functions on closed sets. Canad. J. Math. 28 (1976), 104–111.Google Scholar
[9] Sauer, A., Meromorphic functions with prescribed asymptotic behaviour, zeros and poles and applications in complex approximation. Canad. J. Math. 51 (1999), 117–129.Google Scholar