Abstract
Formulas of the Cauchy and Poisson types for polyanalytic functions are obtained in this work. On the basis of these formulas, the mean-value theorem and the generalized maximum principle are obtained for polyanalytic functions. Estimates for mean values of the associated function of two complex variables on the circles expressed through the mean values of the polyanalytic function itself are obtained. In particular, this implies the estimates for integral norms of analytic components of the polyanalytic function considered.
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.