On Slice Polyanalytic Functions of a Quaternionic Variable

Daniel Alpay, Kamal Diki, Irene Sabadini

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish
Article number17
JournalResults in Mathematics
Issue number1
StatePublished - 1 Mar 2019
Externally publishedYes


  • Bergman spaces
  • Fock spaces
  • quaternions
  • slice polyanalytic functions


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