An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications

Daniel Alpay, Kamal Diki and Mihaela Vajiac

Mathematische Nachrichten, 2024, vol. 297, issue 2, 454-481

Abstract: In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐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.

Date: 2024
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https://doi.org/10.1002/mana.202200475

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