On the Hilbert Formulas and of Change of Integration Order for Some Singular Integrals in the Unit Circle
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Date
2018-05-08
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Technical Research Council Turkey-Tubitak
Open Access Color
GOLD
Green Open Access
No
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No
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Average
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Average
Abstract
We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory when alpha is a complex number. Such formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincare-Bertrand formula for the alpha-hyperholomorphic singular integrals in the unit circle is presented.
Description
Keywords
Hilbert formulas, Poincare-Bertrand formulas, Poincare-Bertrand Formula, Operator, Sphere, Matematik, Poincaré-Bertrand formulas, Hilbert formulas, Eigenvalue problems for linear operators, Integral representations, integral operators, integral equations methods in two dimensions, Integral equations with kernels of Cauchy type
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
1
Source
Turkısh Journal of Mathematıcs
Volume
42
Issue
3
Start Page
862
End Page
875
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CrossRef : 1
Scopus : 4
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Mendeley Readers : 1
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4
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4
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3
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14
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