Abstract
In this note we establish integral formulas for polyanalytic functions in several variables. More precisely, given a positive integer q, we provide explicit expressions for the reproducing kernels of the weighted Bergman spaces of q-analytic functions on the unit ball in \(\mathbb {C}^n\) and that of q-analytic Fock space in \(\mathbb {C}^n\).
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Youssfi, E.H. Polyanalytic reproducing kernels in \(\mathbb {C}^n\). Complex Anal Synerg 7, 28 (2021). https://doi.org/10.1007/s40627-021-00088-7
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DOI: https://doi.org/10.1007/s40627-021-00088-7