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Mathematical Methods in the Applied Sciences
Article . 2024 . Peer-reviewed
License: CC BY
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Article . 2024
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https://dx.doi.org/10.60692/89...
Other literature type . 2024
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Other literature type . 2024
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Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

إجراء الاختزال للحصول على حلول لمشكلة القفز الجمعي القياسي ومشكلة قيمة حدود ريمان في تحليل كليفورد المتجهي
Authors: Carlos Daniel Tamayo Castro; Juan Bory Reyes; Ricardo Abreu Blaya;

Reduction procedure for obtaining solutions of the scalar additive Jump problem and Riemann boundary value problem in vectorial Clifford analysis

Abstract

In this paper, we study existence of solutions to the scalar additive Jump problem and the Riemann boundary value problems in the context of vectorial Clifford analysis on domains with fractal boundaries. A reduction procedure is applied with great effectiveness to find the solution of the problems.

Keywords

Geometry, Mathematical analysis, Riemann problem, Quantum mechanics, Other partial differential equations of complex analysis in several variables, Mathematics - Analysis of PDEs, Context (archaeology), Clifford Analysis, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Scalar (mathematics), Boundary value problem, Biology, Clifford analysis, Mathematical Physics, Jump, Applied Mathematics, Physics, Fractional Fourier Transform Analysis, Applications of Clifford algebras to physics, etc., Paleontology, Riemann boundary value problem, Cauchy-Riemann and Dirac operators, Applied mathematics, Quaternionic Analysis and Applications, Clifford algebras, spinors, Mathematics - Classical Analysis and ODEs, Physical Sciences, Reduction (mathematics), p-adic Models in Mathematical Physics, fractal boundaries, Mathematics, Analysis of PDEs (math.AP), Primary: 30G35, 28A80, Secondary: 30G30, 30E25, Riemann hypothesis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid