Conjugate complex harmonic functions

DOI10.1007/s40065-023-00433-0zbMath1529.30053OpenAlexW4380686522MaRDI QIDQ6062994

Luis Manuel Tovar Sánchez, Yesenia Bravo O., Lino Feliciano Reséndis Ocampo

Publication date: 2 December 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-023-00433-0

zbMATH Keywords

bicomplex holomorphic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras
• Bicomplex quantum mechanics. II: The Hilbert space
• Extension functors of Cousin cohomology modules
• The fixed points and cross-ratios of hyperbolic Möbius transformations in bicomplex space
• Bicomplex Bergman and Bloch spaces
• Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems
• Contributions to the theory of functions of a bicomplex variable
• Bicomplex Holomorphic Functions
• Normal families of bicomplex meromorphic functions
• On the set of zeros of bicomplex polynomials
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Generalization of the Gauss--Lucas theorem for bicomplex polynomials
• Spaces of Holomorphic Functions in the Unit Ball
• On Factorization of Bicomplex Meromorphic Functions
• Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
• On the Laurent series for bicomplex holomorphic functions
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
• Bicomplex holomorphic functional calculus