Complex Laplacian and derivatives of bicomplex functions

DOI10.1007/s11785-013-0284-8zbMath1278.30052OpenAlexW2011361689MaRDI QIDQ371905

Maria Elena Luna-Elizarrarás, Michael V. Shapiro, Daniele C. Struppa, Adrian Vajiac

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1007/s11785-013-0284-8

zbMATH Keywords

hyperbolic Laplacianbicomplex derivabilitybicomplex differentiabilitybicomplex holomorphic functionscomplex Laplacian

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other generalizations of function theory of one complex variable (32A30)

Related Items (15)

Topological bicomplex modules ⋮ Kolmogorov's axioms for probabilities with values in hyperbolic numbers ⋮ Multicomplex wave functions for linear and nonlinear Schrödinger equations ⋮ Conformal numbers ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ On the bicomplex Gleason-Kahane-Żelazko theorem ⋮ The Schwarz lemma in bicomplex analysis ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ Cauchy type integral in bicomplex setting and its properties ⋮ Approximation by bicomplex beta operators in compact ‐disks ⋮ Unnamed Item ⋮ On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules ⋮ Algebraic properties of bihyperbolic numbers ⋮ Bicomplex holomorphic functional calculus

Cites Work

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• On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Complexified clifford analysis
• Remarks on Holomorphicity in Three Settings: Complex, Quaternionic, and Bicomplex
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke

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