Abstract
In this paper, a general definition of factorization of meromorphic functions of several variables is given. We have proved a general Malmquist type theorem of partial differential equations and prove the pseudo-prime ness of meromorphic solutions of system of Riccati partial differential equations with polynomial coefficients. Also it is proved that any finite order meromorphic solution of linear partial differential equations with rational coefficients must be pseudo-prime. The main tool used in the paper is Nevanlinna type of higher-dimensional value distribution theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Complex Variables, Theory and Application: An International Journal
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
