A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES

DOI10.1142/S0218348X2250092XzbMath1494.30085arXiv2111.04156OpenAlexW3211843312WikidataQ113776995 ScholiaQ113776995MaRDI QIDQ5086273

Juan Bory-Reyes, José Óscar González-Cervantes

Publication date: 5 July 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04156

zbMATH Keywords

fractional derivativesquaternionic analysisholomorphic functions of two complex variablesBorel-Pompeiu formula

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
• Fractional calculus for scientists and engineers.
• Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\)
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Quaternionic analysis and elliptic boundary value problems
• Fractional elementary bicomplex functions in the Riemann-Liouville sense
• A class of time-fractional Dirac type operators
• Biquaternionic reformulation of a fractional monochromatic Maxwell system
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Riemann-Liouville case
• Fractional Clifford Analysis
• A Fractional Dirac Operator
• Fischer Decomposition and Cauchy–Kovalevskaya Extension in Fractional Clifford Analysis: The Riemann–Liouville Case
• Quaternionic Analysis and Some Conventional Theories
• Quaternionic analysis
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems II. algebras of singular lntegral operators and riemann type boundary value problems
• A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• A higher dimensional fractional Borel‐Pompeiu formula and a related hypercomplex fractional operator calculus
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives
• Hyperholomorphic functions

This page was built for publication: A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES