Malmquist-type theorems on some complex differential-difference equations

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....

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Bibliographic Details
Main Authors: Xu Hong Yan, Li Hong, Yu Meiying
Format: Article
Language:English
Published: De Gruyter 2022-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0475
Description
Summary: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.
ISSN:2391-5455