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

DOI10.1002/MANA.202200475MaRDI QIDQ6196770

Kamal Diki, Daniel Alpay, Mihaela Vajiac

Publication date: 15 March 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

bicomplex numbersbicomplex polyanalytic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

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• Singularities of functions of one and several bicomplex variables
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Reproducing kernel Hilbert spaces of polyanalytic functions of infinite order
• Bicomplex polyharmonicity and polyholomorphy
• Complex analysis I: Entire and meromorphic functions, polyanalytic functions and their generalizations. Transl. from the Russian by V. I. Rublinetskij and V. A. Tkachenko
• A note on the complex and bicomplex valued neural networks
• The Cauchy-Kowalewski product for bicomplex holomorphic functions
• Bicomplex Holomorphic Functions
• The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
• Bernstein-type Inequalities for Bicomplex Polynomials
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

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