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19922025
most citedMeromorphic solutions of higher order Briot-Bouquet differential equations

70 citations · 486 across the 82 of their papers we have counts for

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math.CV2025

Julia directions for holomorphic curves

Alexandre Eremenko

A theorem of Picard's type is proved for entire holomorphic mappings into complex projective varieties. This theorem has local character in the sense that the existence of Julia di…

math.CV2022★ 1 cited

Zeros and coefficients

Alexandre Eremenko

Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of…

math.CV2022★ 1 cited

Second order linear differential equations with a basis of solutions having only real zeros

Walter Bergweiler, Alexandre Eremenko, Lasse Rempe

Let be a transcendental entire function of finite order. We show that if the differential equation has two linearly independent solutions with only real zeros, then…

math.CV2021★ 7 cited

Ahlfors' contribution to the theory of meromorphic functions

Alexandre Eremenko

This is an expanded version of one of the Lectures in memory of Lars Ahlfors in Haifa in 1996. Some mistakes are corrected and references added. It contains a survey of his work on…

math.CV2021★ 7 cited

Singularities of inverse functions

Alexandre Eremenko

A survey of general results on the singularities of inverses to meromorphic functions is given, with applications to holomorphic dynamics. This is a lecture delivered at the worksh…

math.CV2021

Canonical embeddings of pairs of arcs

Mario Bonk, Alexandre Eremenko

We show that for given four points in the Riemann sphere and a given isotopy class of two disjoint arcs connecting these points in two pairs, there exists a unique configuration wi…