Abstract
In this article, the Hilbert boundary value problem (BVP) for bianalytic functions with different factors on the unit circumference is first investigated in two different ways. The different expressions of the solutions and the conditions of solvability are obtained and the corresponding equivalence among them is verified. Then, the general Hilbert BVP for polyanalytic functions is studied by transforming it into the equivalent Hilbert BVP for a system of analytic functions, and the expressions of the solution and the solvability condition dependent on the so-called canonical matrix is obtained. †Dedicated to Professor Guochun Wen on the occasion of his 75th birthday.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.