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Malmquist-type theorems on some complex differential-difference equations

Xu Hong Yan, Li Hong, Yu Meiying

Open Mathematics · 2022

doi:10.1515/math-2022-0475 (opens in a new tab)

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Abstract

This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous equations given by Zhang, Huang, and others. Moreover, some examples are provided to demonstrate why some restrictive conditions in some of our theorems cannot be removed.

Abstract licence: CC BY

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