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

Two meromorphic functions $ f $ and $ g $ are said to share a value $s\in\mathbb{C}\cup\{\infty\} $ $ CM $ $ (IM) $ provided that $ f(z)-s $ and $g(z)-s $ have the same set of zeros counting multiplicities (ignoringmultiplicities). We say that a meromorphic function $ f $ share $s\in\mathbb{C} $ partially $ CM $ with a meromorphic function $ g $ if $E(s,f)\subseteq E(s,g)$. It is easy to see that the condition ``partiallyshared values $ CM $" is more general than the condition ``shared value $ CM$". With the idea of partially shared values, in this paper, we prove someuniqueness results between non-constant meromorphic functions and their shiftsor generalized differences. We exhibit some examples to show that the result of{Charak \emph{et al.}} \cite{Cha & Kor & Kum-2016} is not true for $k=2 $ or $k=3 $. We find some gaps in proof of the result of {Lin} \emph{et al.}\cite{Lin & Lin & Wu}, and we not only correct them but also generalize theirresult in a more convenient way. A number of examples have been exhibited tovalidate a certain claim of the main results of this paper and also to showthat some of the conditions are sharp. In the end, we have posed some openquestions for further investigation of the main result of the paper.

Class of meromorphic functions partially shared values with their differences or shifts