English

The Bicomplex-Real Calculus and Applications to Bicomplex Hermite-It\^o Polynomials

Complex Variables 2023-06-13 v1

Abstract

In this paper we extend notions of complex C-R-calculus and complex Hermite polynomials to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case.

Cite

@article{arxiv.2306.06214,
  title  = {The Bicomplex-Real Calculus and Applications to Bicomplex Hermite-It\^o Polynomials},
  author = {Daniel Alpay and Kamal Diki and Mihaela Vajiac},
  journal= {arXiv preprint arXiv:2306.06214},
  year   = {2023}
}
R2 v1 2026-06-28T11:01:34.240Z