Asymptotic expansions and positivity of coefficients for large powers of analytic functions

DOI10.1155/S0161171203205056zbMath1033.41016MaRDI QIDQ1864340

Valerio de Angelis

Publication date: 17 March 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50643

zbMATH Keywords

asymptotic expansionlarge powers of analytic functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Polynomials, rational functions in real analysis (26C99)

Related Items (12)

Unnamed Item ⋮ Distribution of zeros of polynomials with positive coefficients ⋮ Characterization of polynomials whose large powers have fully positive coefficients ⋮ A Positivstellensatz for forms on the positive orthant ⋮ An explicit formula for the coefficients in Laplace's method ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ On polynomials satisfying power inequality for numerical radius ⋮ Asymptotic expansions for sub-critical lagrangean forms ⋮ Estimating the \(k\)th coefficient of \((f(z))^{n}\) when \(k\) is not too large ⋮ A characterization of polynomials whose high powers have non-negative coefficients ⋮ Unnamed Item ⋮ Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal

This page was built for publication: Asymptotic expansions and positivity of coefficients for large powers of analytic functions