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

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 re...

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Bibliographic Details

Published in:	Mathematische Nachrichten Vol. 297; no. 2; pp. 454 - 481
Main Authors:	Alpay, Daniel, Diki, Kamal, Vajiac, Mihaela
Format:	Journal Article
Language:	English
Published:	Weinheim Wiley Subscription Services, Inc 01.02.2024
Subjects:	Algorithms BC−R$\mathbb {BC}-\mathbb {R}$ calculus bicomplex gradient operator bicomplex numbers BLMS algorithm C–R calculus
ISSN:	0025-584X, 1522-2616
Online Access:	Get full text
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