Riemann boundary value problem for hyperanalytic functions

Ricardo Abreu Blaya; Juan Bory Reyes; Dixan Peña Peña

doi:10.1155/IJMMS.2005.2821

Riemann boundary value problem for hyperanalytic functions

Ricardo Abreu Blaya, Juan Bory Reyes, Dixan Peña Peña

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Doughs sense is established.

Original language	English
Pages (from-to)	2821-2840
Number of pages	20
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	17
DOIs	https://doi.org/10.1155/IJMMS.2005.2821
State	Published - 27 Oct 2005
Externally published	Yes

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abstract = "We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Doughs sense is established.",

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AU - Blaya, Ricardo Abreu

AU - Reyes, Juan Bory

AU - Peña Peña, Dixan

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N2 - We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Doughs sense is established.

AB - We deal with Riemann boundary value problem for hyperanalytic functions. Furthermore, necessary and sufficient conditions for solvability of the problem are derived. At the end the explicit form of general solution for singular integral equations with a hypercomplex Cauchy kernel in the Doughs sense is established.

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U2 - 10.1155/IJMMS.2005.2821

DO - 10.1155/IJMMS.2005.2821

M3 - Artículo

AN - SCOPUS:31344478446

SN - 0161-1712

VL - 2005

SP - 2821

EP - 2840

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

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Riemann boundary value problem for hyperanalytic functions

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