A note on partial polynomial functions, in memory of Marek Jarnicki

2025/02/15 by Pflug, Peter
#32A08 #32D10 #32D15 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.10751

Abstract

We present an extension theorem for a separately holomorphic function which is polynomial/rational in some variables.

Related

• An extension theorem for separately holomorphic functions with singularities, II
• Holomorphic Rational Functions of Several Variables and Sums of Squares of Polynomials
• Entire functions polynomially bounded in several variables
• A note on holomorphic extensions
• Partial holomorphic semiconjugacies between rational functions