Contributions to the theory of functions of a bicomplex variable

DOI10.2748/tmj/1178245302zbMath0052.31102OpenAlexW2034919717MaRDI QIDQ2651310

James D. Riley

Publication date: 1953

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178245302

zbMATH Keywords

complex functions

Related Items (18)

Topological bicomplex modules ⋮ Conformal numbers ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ Bicomplex polyharmonicity and polyholomorphy ⋮ Biquaternion extensions of analytic functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Harmonic morphisms and bicomplex manifolds ⋮ Conjugate complex harmonic functions ⋮ Mean value theorems for bicomplex harmonic functions ⋮ Counterexamples to bicomplex analogue of Bloch's principle and its converse ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Generalization of the Gauss--Lucas theorem for bicomplex polynomials ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ Eigen-decomposition of quaternions ⋮ Cauchy type integral in bicomplex setting and its properties ⋮ Hypernumbers applied or how they interface with the physical world

Cites Work

• Sulla rappresentazione delle funzioni di variabile bicomplessa totalmente derivabili
• A theory of analytic functions in linear associative algebras
• Beiträge zur funktionentheorie in hyperkomplexen Systemen I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Contributions to the theory of functions of a bicomplex variable