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BOUNDED POLYNOMIALS AND HOLOMORPHIC MAPPINGS BETWEEN CONVEX SUBRINGS OF *$\mathbb{C}$

Published online by Cambridge University Press:  08 February 2018

ADEL KHALFALLAH
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS DHAHRAN31261, SAUDI ARABIAE-mail:[email protected]
SIEGMUND KOSAREW
Affiliation:
INSTITUT FOURIER, UNIVERSITÉ GRENOBLE ALPES 100 RUE DES MATHS 38610 GIÈRES, FRANCEE-mail:[email protected]

Abstract

Using convex subrings of *$\mathbb{C}$, a nonstandard extension of $\mathbb{C}$, we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2018 

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References

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