An Extension of the Complex–Real (C–R) Calculus to the Bicomplex Setting, with Applications

Authors

Daniel Alpay, Chapman UniversityFollow
Kamal Diki, Chapman UniversityFollow
Mihaela Vajiac, Chapman UniversityFollow

Document Type

Article

Publication Date

7-11-2023

Abstract

In this paper, we extend notions of complex ℂ−ℝ-calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.

Comments

This article was originally published in Mathematische Nachrichten in 2023. https://doi.org/10.1002/mana.202200475

Recommended Citation

Alpay, D., Diki, K., and Vajiac, M., An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications, Math. Nachr. 00 (2023), 1– 28. https://doi.org/10.1002/mana.202200475

Peer Reviewed

1

Copyright

The authors

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.