• Corpus ID: 118898111

# $(s,p)$-Valent Functions

@article{Friedland2015spValentF,
title={\$(s,p)\$-Valent Functions},
author={Omer Friedland and Yosef Yomdin},
journal={arXiv: Classical Analysis and ODEs},
year={2015}
}
• Published 1 March 2015
• Mathematics
• arXiv: Classical Analysis and ODEs
We introduce the notion of $(\mathcal F,p)$-valent functions. We concentrate in our investigation on the case, where $\mathcal F$ is the class of polynomials of degree at most $s$. These functions, which we call $(s,p)$-valent functions, provide a natural generalization of $p$-valent functions (see~\cite{Ha}). We provide a rather accurate characterizing of $(s,p)$-valent functions in terms of their Taylor coefficients, through "Taylor domination", and through linear non-stationary recurrences…
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