On Slice Polyanalytic Functions of a Quaternionic Variable
Document Type
Article
Publication Date
1-2-2019
Abstract
In this paper, we introduce the quaternionic slice polyanalytic functions and we prove some of their properties. Then, we apply the obtained results to begin the study of the quaternionic Fock and Bergman spaces in this new setting. In particular, we give explicit expressions of their reproducing kernels.
Recommended Citation
Alpay, D., Diki, K. & Sabadini, I. Results Math (2019) 74: 17. https://doi.org/10.1007/s00025-018-0942-2
Peer Reviewed
1
Copyright
Springer
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Results in Mathematics, volume 74, in 2019 following peer review. The final publication is available at Springer via DOI: 10.1007/s00025-018-0942-2.
Online access to this article has been shared by the author(s) via Springer Nature SharedIt.