Cauchy type integral in bicomplex setting and its properties

DOI10.1007/s11785-019-00918-xzbMath1445.30022OpenAlexW2942320174MaRDI QIDQ2007928

Cesar Octavio Pérez-Regalado, Michael V. Shapiro, Juan Bory-Reyes

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-019-00918-x

zbMATH Keywords

Cauchy-type integralHölder functionsPlemelj-Sokhotski formula

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Other generalizations of function theory of one complex variable (32A30)

Related Items (6)

A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula ⋮ The Schwarz lemma in bicomplex analysis ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Algebraic properties of bihyperbolic numbers

Uses Software

• CLIFFORD

Cites Work

• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Complex Laplacian and derivatives of bicomplex functions
• Mathematical analysis I. Translated from the 4th and 6th Russian editions by Roger Cooke and Octavio T. Paniagua
• Rectifiable sets, densities and tangent measures
• Cauchy integral and singular integral operator over closed Jordan curves
• Contributions to the theory of functions of a bicomplex variable
• Bicomplex Holomorphic Functions
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
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