Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang

التفاصيل البيبلوغرافية
العنوان: Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang
المؤلفون: Xu, Hong Yan, Mandal, Rajib, Biswas, Raju
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, 39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35
الوصف: 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 $\mathbb{C}^2$ 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.
Comment: 17 Pages, Latex-V1
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2412.19338
رقم الانضمام: edsarx.2412.19338
قاعدة البيانات: arXiv