2024/12/26 by Hong-Yan Xu, Xu, Hong Yan, Rajib Mandal +3
Mathematics · #30D35 #32A20 #32W50 #34M05 #39A14 #39A45 #39B32 #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2412.19338
openalex publication_date 2024/12/26 · openalex created_date 2024/12/31 · openalex updated_date 2026/07/28
The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat-type partial differential-difference equations by considering the more general forms of the PDDEs in an open problem on ℂ2 due to Xu and Wang (Notes on the existence of entire solutions for several partial differential-difference equations, Bull. Iran. Math. Soc., 47, 1477-1489 (2020)). We provide examples to illustrate the results.