Bounded polynomials and holomorphic mappings between convex subrings of ∗c

Adel Khalfallah; Siegmund Kosarew

doi:10.1017/jsl.2017.24

Bounded polynomials and holomorphic mappings between convex subrings of ∗c

Adel Khalfallah, Siegmund Kosarew

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Using convex subrings of ∗C a nonstandard extension of C we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.

Original language	English
Pages (from-to)	372-384
Number of pages	13
Journal	Journal of Symbolic Logic
Volume	83
Issue number	1
DOIs	https://doi.org/10.1017/jsl.2017.24
State	Published - 1 Mar 2018

Bibliographical note

Publisher Copyright:
© 2018 The Association for Symbolic Logic.

Keywords

generalized holomorphicity
internal polynomials
nonstandard analysis

ASJC Scopus subject areas

Philosophy
Logic

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10.1017/jsl.2017.24

Cite this

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title = "Bounded polynomials and holomorphic mappings between convex subrings of ∗c",

abstract = "Using convex subrings of ∗C a nonstandard extension of C we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.",

keywords = "generalized holomorphicity, internal polynomials, nonstandard analysis",

author = "Adel Khalfallah and Siegmund Kosarew",

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year = "2018",

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doi = "10.1017/jsl.2017.24",

language = "English",

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AU - Kosarew, Siegmund

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N2 - Using convex subrings of ∗C a nonstandard extension of C we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.

AB - Using convex subrings of ∗C a nonstandard extension of C we define several kinds of complex bounded polynomials and we provide their associated analytic functions obtained by taking the quasistandard part.

KW - generalized holomorphicity

KW - internal polynomials

KW - nonstandard analysis

UR - https://www.scopus.com/pages/publications/85046370887

U2 - 10.1017/jsl.2017.24

DO - 10.1017/jsl.2017.24

M3 - Article

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EP - 384

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IS - 1

ER -

Bounded polynomials and holomorphic mappings between convex subrings of ∗c

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this