A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA

Jos㉠Oscar Gonzã Lez-Cervantes () and Juan Bory-Reyes
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Jos㉠Oscar Gonzã Lez-Cervantes: Departamento de Matemáticas, Escuela Superior de Física y Matemáticas (ESFM) — Instituto Politécnico Nacional, 07338 Ciudad de México, Mexico
Juan Bory-Reyes: SEPI, ESIME Zacatenco — Instituto Politécnico Nacional, 07338, Ciudad de México, Mexico

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-15

Abstract: In theoretical setting, associated with a fractional ψ-Fueter operator that depends on an additional vector of complex parameters with fractional real parts, this paper establishes a fractional analog of Borel–Pompeiu formula as a first step to develop a fractional ψ-hyperholomorphic function theory and the related operator calculus.

Keywords: Quaternionic Analysis; Stokes and Borel–Pompeiu Formulas; Fractional ψ-Fueter Operator (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X2250013X

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