ψ-weighted Cauchy-Riemann operators and some associated integral representation

DOI10.2989/16073606.2019.1574928zbMath1439.30073OpenAlexW2918486873MaRDI QIDQ5222239

Eusebio Ariza, Antonio Di Teodoro, Carmen Judith Vanegas

Publication date: 1 April 2020

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1574928

zbMATH Keywords

Cauchy integral formulaCauchy-Pompeiu integral formulaweighted Cauchy-Riemann operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (1)

A bicomplex \((\vartheta,\varphi)\)-weighted fractional Borel-Pompeiu type formula

Cites Work

• Higher-order partial differential equations in Clifford analysis. Effective solutions to problems
• Faktorisierung von Lösungen partieller komplexer Differentialungleichungen mit Hilfe eines holomorphen und eines von Null verschiedenen Faktors
• The Cauchy–Pompeiu integral formula in elliptic complex numbers
• Mixed boundary value problems for the inhomogeneous polyanalytic equation
• Boundary value problems for the inhomogeneous polyanalytic equation II
• Boundary value problems for the inhomogeneous polyanalytic equation I
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