English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that if a complex entire function $f$ and its derivative $f'$ sharetheir simple zeroes and their simple $a$-points for some nonzero constant $a$,then $f\equiv f'$. We also discuss how far these conditions can be relaxed orgeneralized. Finally, we determine all entire functions $f$ such that for 3distinct complex numbers $a_1,a_2,a_3$ every simple $a_j$-point of $f$ is an$a_j$-point of $f'$.

Entire functions sharing simple $a$-points with their first derivative